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Finding the Fourth Proportional to 132,507.80, 198,761.70 and 80,019.80

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Solution

The fourth proportional to 132,507.80, 198,761.70 and 80,019.80 is: 120,029.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,507.80 : 198,761.70 = 80,019.80 : x
  2. Step 2: Convert to fraction form
    132,507.80/198,761.70 = 80,019.80/x
  3. Step 3: Cross multiply
    132,507.80x = 198,761.70 × 80,019.80
  4. Step 4: Simplify right side
    132,507.80x = 15,904,871,481.66
  5. Step 5: Solve for x
    x = 15,904,871,481.66/132,507.80
  6. Step 6: Final answer
    x = 120,029.70

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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.