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Finding the Fourth Proportional to 138,061.74, 206,821.96 and 71,545.50

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Solution

The fourth proportional to 138,061.74, 206,821.96 and 71,545.50 is: 107,178.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,061.74 : 206,821.96 = 71,545.50 : x
  2. Step 2: Convert to fraction form
    138,061.74/206,821.96 = 71,545.50/x
  3. Step 3: Cross multiply
    138,061.74x = 206,821.96 × 71,545.50
  4. Step 4: Simplify right side
    138,061.74x = 14,797,180,539.18
  5. Step 5: Solve for x
    x = 14,797,180,539.18/138,061.74
  6. Step 6: Final answer
    x = 107,178.00

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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.