Finding the Fourth Proportional to 75,742.19, 113,696.36 and 31,400.08
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Solution
The fourth proportional to 75,742.19, 113,696.36 and 31,400.08 is: 47,134.56
Step by Step Solution
- Step 1: Write the proportion equation
75,742.19 : 113,696.36 = 31,400.08 : x - Step 2: Convert to fraction form
75,742.19/113,696.36 = 31,400.08/x - Step 3: Cross multiply
75,742.19x = 113,696.36 × 31,400.08 - Step 4: Simplify right side
75,742.19x = 3,570,074,795.99 - Step 5: Solve for x
x = 3,570,074,795.99/75,742.19 - Step 6: Final answer
x = 47,134.56
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.