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Finding the Fourth Proportional to 80,219.57, 120,311.12 and 35,822.25

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Solution

The fourth proportional to 80,219.57, 120,311.12 and 35,822.25 is: 53,725.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,219.57 : 120,311.12 = 35,822.25 : x
  2. Step 2: Convert to fraction form
    80,219.57/120,311.12 = 35,822.25/x
  3. Step 3: Cross multiply
    80,219.57x = 120,311.12 × 35,822.25
  4. Step 4: Simplify right side
    80,219.57x = 4,309,815,107.98
  5. Step 5: Solve for x
    x = 4,309,815,107.98/80,219.57
  6. Step 6: Final answer
    x = 53,725.24

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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.