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Finding the Fourth Proportional to 138,411.30, 207,617.09 and 38,571.78

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Solution

The fourth proportional to 138,411.30, 207,617.09 and 38,571.78 is: 57,857.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,411.30 : 207,617.09 = 38,571.78 : x
  2. Step 2: Convert to fraction form
    138,411.30/207,617.09 = 38,571.78/x
  3. Step 3: Cross multiply
    138,411.30x = 207,617.09 × 38,571.78
  4. Step 4: Simplify right side
    138,411.30x = 8,008,160,719.72
  5. Step 5: Solve for x
    x = 8,008,160,719.72/138,411.30
  6. Step 6: Final answer
    x = 57,857.71

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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.