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Finding the Fourth Proportional to 81,717.92, 122,583.92 and 22,553.60

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Solution

The fourth proportional to 81,717.92, 122,583.92 and 22,553.60 is: 33,832.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,717.92 : 122,583.92 = 22,553.60 : x
  2. Step 2: Convert to fraction form
    81,717.92/122,583.92 = 22,553.60/x
  3. Step 3: Cross multiply
    81,717.92x = 122,583.92 × 22,553.60
  4. Step 4: Simplify right side
    81,717.92x = 2,764,708,698.11
  5. Step 5: Solve for x
    x = 2,764,708,698.11/81,717.92
  6. Step 6: Final answer
    x = 33,832.34

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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.