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Finding the Fourth Proportional to 138,761.20, 207,923.10 and 116,453.80

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Solution

The fourth proportional to 138,761.20, 207,923.10 and 116,453.80 is: 174,497.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,761.20 : 207,923.10 = 116,453.80 : x
  2. Step 2: Convert to fraction form
    138,761.20/207,923.10 = 116,453.80/x
  3. Step 3: Cross multiply
    138,761.20x = 207,923.10 × 116,453.80
  4. Step 4: Simplify right side
    138,761.20x = 24,213,435,102.78
  5. Step 5: Solve for x
    x = 24,213,435,102.78/138,761.20
  6. Step 6: Final answer
    x = 174,497.16

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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.