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Finding the Fourth Proportional to 138,638.65, 207,957.92 and 54,438.43

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Solution

The fourth proportional to 138,638.65, 207,957.92 and 54,438.43 is: 81,657.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,638.65 : 207,957.92 = 54,438.43 : x
  2. Step 2: Convert to fraction form
    138,638.65/207,957.92 = 54,438.43/x
  3. Step 3: Cross multiply
    138,638.65x = 207,957.92 × 54,438.43
  4. Step 4: Simplify right side
    138,638.65x = 11,320,902,806.96
  5. Step 5: Solve for x
    x = 11,320,902,806.96/138,638.65
  6. Step 6: Final answer
    x = 81,657.62

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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.