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Finding the Fourth Proportional to 261,217.48, 391,825.92 and 71,679.92

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Solution

The fourth proportional to 261,217.48, 391,825.92 and 71,679.92 is: 107,519.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,217.48 : 391,825.92 = 71,679.92 : x
  2. Step 2: Convert to fraction form
    261,217.48/391,825.92 = 71,679.92/x
  3. Step 3: Cross multiply
    261,217.48x = 391,825.92 × 71,679.92
  4. Step 4: Simplify right side
    261,217.48x = 28,086,050,599.53
  5. Step 5: Solve for x
    x = 28,086,050,599.53/261,217.48
  6. Step 6: Final answer
    x = 107,519.80

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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.