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Finding the Fourth Proportional to 81,687.92, 122,474.28 and 31,726.40

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Solution

The fourth proportional to 81,687.92, 122,474.28 and 31,726.40 is: 47,567.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,687.92 : 122,474.28 = 31,726.40 : x
  2. Step 2: Convert to fraction form
    81,687.92/122,474.28 = 31,726.40/x
  3. Step 3: Cross multiply
    81,687.92x = 122,474.28 × 31,726.40
  4. Step 4: Simplify right side
    81,687.92x = 3,885,667,996.99
  5. Step 5: Solve for x
    x = 3,885,667,996.99/81,687.92
  6. Step 6: Final answer
    x = 47,567.23

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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.