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Finding the Fourth Proportional to 106,129.92, 158,992.56 and 54,691.68

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Solution

The fourth proportional to 106,129.92, 158,992.56 and 54,691.68 is: 81,933.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,129.92 : 158,992.56 = 54,691.68 : x
  2. Step 2: Convert to fraction form
    106,129.92/158,992.56 = 54,691.68/x
  3. Step 3: Cross multiply
    106,129.92x = 158,992.56 × 54,691.68
  4. Step 4: Simplify right side
    106,129.92x = 8,695,570,213.90
  5. Step 5: Solve for x
    x = 8,695,570,213.90/106,129.92
  6. Step 6: Final answer
    x = 81,933.26

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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.