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Finding the Fourth Proportional to 138,620.43, 207,943.74 and 38,780.64

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Solution

The fourth proportional to 138,620.43, 207,943.74 and 38,780.64 is: 58,174.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,620.43 : 207,943.74 = 38,780.64 : x
  2. Step 2: Convert to fraction form
    138,620.43/207,943.74 = 38,780.64/x
  3. Step 3: Cross multiply
    138,620.43x = 207,943.74 × 38,780.64
  4. Step 4: Simplify right side
    138,620.43x = 8,064,191,321.19
  5. Step 5: Solve for x
    x = 8,064,191,321.19/138,620.43
  6. Step 6: Final answer
    x = 58,174.62

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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.