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Finding the Fourth Proportional to 81,688.91, 122,540.92 and 31,772.79

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Solution

The fourth proportional to 81,688.91, 122,540.92 and 31,772.79 is: 47,662.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,688.91 : 122,540.92 = 31,772.79 : x
  2. Step 2: Convert to fraction form
    81,688.91/122,540.92 = 31,772.79/x
  3. Step 3: Cross multiply
    81,688.91x = 122,540.92 × 31,772.79
  4. Step 4: Simplify right side
    81,688.91x = 3,893,466,838.13
  5. Step 5: Solve for x
    x = 3,893,466,838.13/81,688.91
  6. Step 6: Final answer
    x = 47,662.13

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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.