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Finding the Fourth Proportional to 92,408.77, 138,542.68 and 76,565.17

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Solution

The fourth proportional to 92,408.77, 138,542.68 and 76,565.17 is: 114,789.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,408.77 : 138,542.68 = 76,565.17 : x
  2. Step 2: Convert to fraction form
    92,408.77/138,542.68 = 76,565.17/x
  3. Step 3: Cross multiply
    92,408.77x = 138,542.68 × 76,565.17
  4. Step 4: Simplify right side
    92,408.77x = 10,607,543,846.46
  5. Step 5: Solve for x
    x = 10,607,543,846.46/92,408.77
  6. Step 6: Final answer
    x = 114,789.36

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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.