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Finding the Fourth Proportional to 135,814.20, 203,874.90 and 80,441.40

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Solution

The fourth proportional to 135,814.20, 203,874.90 and 80,441.40 is: 120,753.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,814.20 : 203,874.90 = 80,441.40 : x
  2. Step 2: Convert to fraction form
    135,814.20/203,874.90 = 80,441.40/x
  3. Step 3: Cross multiply
    135,814.20x = 203,874.90 × 80,441.40
  4. Step 4: Simplify right side
    135,814.20x = 16,399,982,380.86
  5. Step 5: Solve for x
    x = 16,399,982,380.86/135,814.20
  6. Step 6: Final answer
    x = 120,753.08

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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.