As an expansion of the intuitionistic fuzzy preference relation, the Pythagorean fuzzy preference relation (PFPR) is an important research direction of Pythagorean fuzzy set. The Pythagorean fuzzy preference relation, which expresses fuzzy preference information of a decision maker, is more powerful than the other fuzzy preference relations. Inspired by the multiplicative consistent interval fuzzy preference relation and the multiplicative consistent intuitionistic fuzzy preference relation, the multiplicative consistency of Pythagorean fuzzy preference relation is defined, and a formula, which involves the underlying Pythagorean fuzzy weights of the PFPR, is proposed to construct such a multiplicative consistent PFPR. Then, the normalized weight vector of the PFPR is obtained by building and solving an optimization model, whose objective function is the deviation between the original PFPR and the multiplicative consistent PFPR constructed. An example is used to illustrate the feasibility and effectiveness of the proposed method.