Finding the Fourth Proportional to 75,707.64, 113,631.57 and 38,294.19
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Solution
The fourth proportional to 75,707.64, 113,631.57 and 38,294.19 is: 57,476.75
Step by Step Solution
- Step 1: Write the proportion equation
75,707.64 : 113,631.57 = 38,294.19 : x - Step 2: Convert to fraction form
75,707.64/113,631.57 = 38,294.19/x - Step 3: Cross multiply
75,707.64x = 113,631.57 × 38,294.19 - Step 4: Simplify right side
75,707.64x = 4,351,428,931.58 - Step 5: Solve for x
x = 4,351,428,931.58/75,707.64 - Step 6: Final answer
x = 57,476.75
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.