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Finding the Fourth Proportional to 81,871.92, 122,874.08 and 42,440.31

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Solution

The fourth proportional to 81,871.92, 122,874.08 and 42,440.31 is: 63,694.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,871.92 : 122,874.08 = 42,440.31 : x
  2. Step 2: Convert to fraction form
    81,871.92/122,874.08 = 42,440.31/x
  3. Step 3: Cross multiply
    81,871.92x = 122,874.08 × 42,440.31
  4. Step 4: Simplify right side
    81,871.92x = 5,214,813,833.96
  5. Step 5: Solve for x
    x = 5,214,813,833.96/81,871.92
  6. Step 6: Final answer
    x = 63,694.78

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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.