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Finding the Fourth Proportional to 138,179.30, 207,380.67 and 71,638.47

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Solution

The fourth proportional to 138,179.30, 207,380.67 and 71,638.47 is: 107,515.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,179.30 : 207,380.67 = 71,638.47 : x
  2. Step 2: Convert to fraction form
    138,179.30/207,380.67 = 71,638.47/x
  3. Step 3: Cross multiply
    138,179.30x = 207,380.67 × 71,638.47
  4. Step 4: Simplify right side
    138,179.30x = 14,856,433,906.37
  5. Step 5: Solve for x
    x = 14,856,433,906.37/138,179.30
  6. Step 6: Final answer
    x = 107,515.62

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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.