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Finding the Fourth Proportional to 138,391.94, 207,653.52 and 82,342.78

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Solution

The fourth proportional to 138,391.94, 207,653.52 and 82,342.78 is: 123,553.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,391.94 : 207,653.52 = 82,342.78 : x
  2. Step 2: Convert to fraction form
    138,391.94/207,653.52 = 82,342.78/x
  3. Step 3: Cross multiply
    138,391.94x = 207,653.52 × 82,342.78
  4. Step 4: Simplify right side
    138,391.94x = 17,098,767,903.24
  5. Step 5: Solve for x
    x = 17,098,767,903.24/138,391.94
  6. Step 6: Final answer
    x = 123,553.20

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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.