Finding the Fourth Proportional to 106,748.76, 160,132.20 and 31,864.08
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Solution
The fourth proportional to 106,748.76, 160,132.20 and 31,864.08 is: 47,798.82
Step by Step Solution
- Step 1: Write the proportion equation
106,748.76 : 160,132.20 = 31,864.08 : x - Step 2: Convert to fraction form
106,748.76/160,132.20 = 31,864.08/x - Step 3: Cross multiply
106,748.76x = 160,132.20 × 31,864.08 - Step 4: Simplify right side
106,748.76x = 5,102,465,231.38 - Step 5: Solve for x
x = 5,102,465,231.38/106,748.76 - Step 6: Final answer
x = 47,798.82
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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.