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Finding the Fourth Proportional to 138,344.40, 207,540.90 and 49,649.40

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Solution

The fourth proportional to 138,344.40, 207,540.90 and 49,649.40 is: 74,482.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,344.40 : 207,540.90 = 49,649.40 : x
  2. Step 2: Convert to fraction form
    138,344.40/207,540.90 = 49,649.40/x
  3. Step 3: Cross multiply
    138,344.40x = 207,540.90 × 49,649.40
  4. Step 4: Simplify right side
    138,344.40x = 10,304,281,160.46
  5. Step 5: Solve for x
    x = 10,304,281,160.46/138,344.40
  6. Step 6: Final answer
    x = 74,482.82

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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.