A computerized mathematical procedure based on nonlinear programming is presented for the purpose of a sandy soil parameter prediction problem by inverse analysis. The task of inverse analysis is to evaluate the values of input parameters for a specified output or response of the system. This inverse problem to determine the values of system input parameters is mathematically formulated as a constrained optimization problem in this study. The input parameters are considered as design variables. The constraint set is developedthrough the implementation of lower and upper bound on design variables. The objective function is determined by evaluating the error or mismatch between the specified output (reference value) and the model predicted value for a given design vector. The resulting nonlinear programming problem is solved using the Interior Penalty Function method coupled with the Davidon-Fletcher-Powell method and quadratic interpolation scheme. To demonstrate the proposed methodology, two illustrative examples related to axially loaded piles installed insandy soil medium are considered. The numerical results indicate that the back analyzed values are in good agreement with their respective reference values.