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Finding the Fourth Proportional to 150,517.70, 207,716.76 and 82,540.88

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Solution

The fourth proportional to 150,517.70, 207,716.76 and 82,540.88 is: 113,907.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,517.70 : 207,716.76 = 82,540.88 : x
  2. Step 2: Convert to fraction form
    150,517.70/207,716.76 = 82,540.88/x
  3. Step 3: Cross multiply
    150,517.70x = 207,716.76 × 82,540.88
  4. Step 4: Simplify right side
    150,517.70x = 17,145,123,122.57
  5. Step 5: Solve for x
    x = 17,145,123,122.57/150,517.70
  6. Step 6: Final answer
    x = 113,907.69

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.