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Finding the Fourth Proportional to 138,549.40, 207,824.10 and 49,805.80

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Solution

The fourth proportional to 138,549.40, 207,824.10 and 49,805.80 is: 74,708.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,549.40 : 207,824.10 = 49,805.80 : x
  2. Step 2: Convert to fraction form
    138,549.40/207,824.10 = 49,805.80/x
  3. Step 3: Cross multiply
    138,549.40x = 207,824.10 × 49,805.80
  4. Step 4: Simplify right side
    138,549.40x = 10,350,845,559.78
  5. Step 5: Solve for x
    x = 10,350,845,559.78/138,549.40
  6. Step 6: Final answer
    x = 74,708.70

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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.