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Finding the Fourth Proportional to 138,380.67, 207,571.20 and 38,541.15

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Solution

The fourth proportional to 138,380.67, 207,571.20 and 38,541.15 is: 57,811.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,380.67 : 207,571.20 = 38,541.15 : x
  2. Step 2: Convert to fraction form
    138,380.67/207,571.20 = 38,541.15/x
  3. Step 3: Cross multiply
    138,380.67x = 207,571.20 × 38,541.15
  4. Step 4: Simplify right side
    138,380.67x = 8,000,032,754.88
  5. Step 5: Solve for x
    x = 8,000,032,754.88/138,380.67
  6. Step 6: Final answer
    x = 57,811.78

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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.