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Finding the Fourth Proportional to 135,287.80, 202,542.90 and 82,799.80

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Solution

The fourth proportional to 135,287.80, 202,542.90 and 82,799.80 is: 123,961.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,287.80 : 202,542.90 = 82,799.80 : x
  2. Step 2: Convert to fraction form
    135,287.80/202,542.90 = 82,799.80/x
  3. Step 3: Cross multiply
    135,287.80x = 202,542.90 × 82,799.80
  4. Step 4: Simplify right side
    135,287.80x = 16,770,511,611.42
  5. Step 5: Solve for x
    x = 16,770,511,611.42/135,287.80
  6. Step 6: Final answer
    x = 123,961.74

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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.