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Finding the Fourth Proportional to 103,209.10, 155,163.60 and 82,414.78

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Solution

The fourth proportional to 103,209.10, 155,163.60 and 82,414.78 is: 123,901.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,209.10 : 155,163.60 = 82,414.78 : x
  2. Step 2: Convert to fraction form
    103,209.10/155,163.60 = 82,414.78/x
  3. Step 3: Cross multiply
    103,209.10x = 155,163.60 × 82,414.78
  4. Step 4: Simplify right side
    103,209.10x = 12,787,773,958.01
  5. Step 5: Solve for x
    x = 12,787,773,958.01/103,209.10
  6. Step 6: Final answer
    x = 123,901.61

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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.