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Finding the Fourth Proportional to 138,397.84, 207,662.28 and 82,348.72

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Solution

The fourth proportional to 138,397.84, 207,662.28 and 82,348.72 is: 123,562.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,397.84 : 207,662.28 = 82,348.72 : x
  2. Step 2: Convert to fraction form
    138,397.84/207,662.28 = 82,348.72/x
  3. Step 3: Cross multiply
    138,397.84x = 207,662.28 × 82,348.72
  4. Step 4: Simplify right side
    138,397.84x = 17,100,722,950.28
  5. Step 5: Solve for x
    x = 17,100,722,950.28/138,397.84
  6. Step 6: Final answer
    x = 123,562.07

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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.