If $\bar{a}=2 \bar{i}+\bar{j}-3 \bar{k}, \bar{b}=\bar{i}-2 \bar{j}+\bar{k}, \bar{c}=-\bar{i}+\bar{j}-4 \bar{k}, \bar{d}=\bar{i}+\bar{j}+p \bar{k}$, where $p$ is a positive real number and $|(\bar{a} \times \bar{b}) \times(\bar{c} \times \bar{d})|=5 \sqrt{114}$, then a value of $p$ is