An equilibrium theory is used to study a hollow fiber supported liquid membrane (HFSLM). Simple graphical procedures for predicting the separation are presented. With this proposed method, when the equilibrium relationships of metal ions between an aqueous solution and a liquid membrane are established, the extraction by this system can be predicted. This method is verified with experimental results for the separation of palladium, lanthanum, cerium, and neodymium ions in both a single column module and a double column module of HFSLM at a very low concentration. It is found that Henry's laws when applied to the graphical methods, can precisely predict the extraction percentage and the trend of the extraction results. The extraction percentage increases when the number of operation cycle increases. In addition, extraction by means of a series of columns of HFSLM is shown to be a potential method for achieving effective separation outcomes.