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Finding the Fourth Proportional to 81,793.11, 122,689.74 and 25,637.61

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Solution

The fourth proportional to 81,793.11, 122,689.74 and 25,637.61 is: 38,456.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,793.11 : 122,689.74 = 25,637.61 : x
  2. Step 2: Convert to fraction form
    81,793.11/122,689.74 = 25,637.61/x
  3. Step 3: Cross multiply
    81,793.11x = 122,689.74 × 25,637.61
  4. Step 4: Simplify right side
    81,793.11x = 3,145,471,705.12
  5. Step 5: Solve for x
    x = 3,145,471,705.12/81,793.11
  6. Step 6: Final answer
    x = 38,456.44

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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.