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Finding the Fourth Proportional to 81,772.52, 122,892.06 and 40,248.68

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Solution

The fourth proportional to 81,772.52, 122,892.06 and 40,248.68 is: 60,487.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,772.52 : 122,892.06 = 40,248.68 : x
  2. Step 2: Convert to fraction form
    81,772.52/122,892.06 = 40,248.68/x
  3. Step 3: Cross multiply
    81,772.52x = 122,892.06 × 40,248.68
  4. Step 4: Simplify right side
    81,772.52x = 4,946,243,197.48
  5. Step 5: Solve for x
    x = 4,946,243,197.48/81,772.52
  6. Step 6: Final answer
    x = 60,487.84

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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.