Numerical simulation has been used to construct the concentration profiles of Ga and P atoms in In-rich melt at successive equally spaced layers in front of an InGaP crystal growing under normal conditions of liquid phase epitaxy (LPE). The growth rate has been calculated using the concentration gradient at the interface. The composition and the thickness of the InGaP solid grown as a function of growth parameters, such as cooling rate, system temperature and time, have been studied. It is observed that the thickness grown depends on the cooling rate, whereas the solid composition is independent of the cooling rate. The theoretical findings of our model have been compared with experimentally reported values and the results are discussed in detail.