Finding the Fourth Proportional to 106,591.76, 159,859.80 and 31,691.74
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Solution
The fourth proportional to 106,591.76, 159,859.80 and 31,691.74 is: 47,529.33
Step by Step Solution
- Step 1: Write the proportion equation
106,591.76 : 159,859.80 = 31,691.74 : x - Step 2: Convert to fraction form
106,591.76/159,859.80 = 31,691.74/x - Step 3: Cross multiply
106,591.76x = 159,859.80 × 31,691.74 - Step 4: Simplify right side
106,591.76x = 5,066,234,818.40 - Step 5: Solve for x
x = 5,066,234,818.40/106,591.76 - Step 6: Final answer
x = 47,529.33
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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.