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Finding the Fourth Proportional to 80,223.12, 120,363.12 and 35,845.92

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Solution

The fourth proportional to 80,223.12, 120,363.12 and 35,845.92 is: 53,781.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,223.12 : 120,363.12 = 35,845.92 : x
  2. Step 2: Convert to fraction form
    80,223.12/120,363.12 = 35,845.92/x
  3. Step 3: Cross multiply
    80,223.12x = 120,363.12 × 35,845.92
  4. Step 4: Simplify right side
    80,223.12x = 4,314,526,770.47
  5. Step 5: Solve for x
    x = 4,314,526,770.47/80,223.12
  6. Step 6: Final answer
    x = 53,781.59

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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.