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Finding the Fourth Proportional to 136,200.70, 204,041.85 and 80,731.90

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Solution

The fourth proportional to 136,200.70, 204,041.85 and 80,731.90 is: 120,944.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,200.70 : 204,041.85 = 80,731.90 : x
  2. Step 2: Convert to fraction form
    136,200.70/204,041.85 = 80,731.90/x
  3. Step 3: Cross multiply
    136,200.70x = 204,041.85 × 80,731.90
  4. Step 4: Simplify right side
    136,200.70x = 16,472,686,230.02
  5. Step 5: Solve for x
    x = 16,472,686,230.02/136,200.70
  6. Step 6: Final answer
    x = 120,944.21

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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.