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Finding the Fourth Proportional to 123,414.60, 185,121.90 and 110,292.60

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Solution

The fourth proportional to 123,414.60, 185,121.90 and 110,292.60 is: 165,438.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,414.60 : 185,121.90 = 110,292.60 : x
  2. Step 2: Convert to fraction form
    123,414.60/185,121.90 = 110,292.60/x
  3. Step 3: Cross multiply
    123,414.60x = 185,121.90 × 110,292.60
  4. Step 4: Simplify right side
    123,414.60x = 20,417,575,667.94
  5. Step 5: Solve for x
    x = 20,417,575,667.94/123,414.60
  6. Step 6: Final answer
    x = 165,438.90

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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.