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Finding the Fourth Proportional to 92,776.48, 138,989.76 and 71,897.92

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Solution

The fourth proportional to 92,776.48, 138,989.76 and 71,897.92 is: 107,711.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,776.48 : 138,989.76 = 71,897.92 : x
  2. Step 2: Convert to fraction form
    92,776.48/138,989.76 = 71,897.92/x
  3. Step 3: Cross multiply
    92,776.48x = 138,989.76 × 71,897.92
  4. Step 4: Simplify right side
    92,776.48x = 9,993,074,645.30
  5. Step 5: Solve for x
    x = 9,993,074,645.30/92,776.48
  6. Step 6: Final answer
    x = 107,711.29

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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.