A random medium model is applied to study propagation and multiple scattering of laser beams in nonlinear media containing microparticles. Refractive indices of these nonlinear media are considered to be isotropic and intensity-dependent. After applying a probabilistic model, we obtain an autocorrelation function with exponential-decay shape for the random medium assuming a two-phase mixture. Using the parabolic approximation, we have calculated the mean value of the intensity-dependent part of refractive index from the mutual coherence function. The Feynman diagrammatic technique, bilocal, and distorted-wave Born approximations are then invoked to formulate a Fourier relationship between the autocorrelation function and the forward scattered field of the incident light beam. Finally, our Fourier-based inversion algorithm is employed to extract information about the medium from the measured scattered field data.