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Finding the Fourth Proportional to 261,293.42, 391,939.26 and 71,753.95

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Solution

The fourth proportional to 261,293.42, 391,939.26 and 71,753.95 is: 107,630.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,293.42 : 391,939.26 = 71,753.95 : x
  2. Step 2: Convert to fraction form
    261,293.42/391,939.26 = 71,753.95/x
  3. Step 3: Cross multiply
    261,293.42x = 391,939.26 × 71,753.95
  4. Step 4: Simplify right side
    261,293.42x = 28,123,190,285.92
  5. Step 5: Solve for x
    x = 28,123,190,285.92/261,293.42
  6. Step 6: Final answer
    x = 107,630.69

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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.