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Finding the Fourth Proportional to 135,272.80, 202,909.20 and 82,784.80

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Solution

The fourth proportional to 135,272.80, 202,909.20 and 82,784.80 is: 124,177.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,272.80 : 202,909.20 = 82,784.80 : x
  2. Step 2: Convert to fraction form
    135,272.80/202,909.20 = 82,784.80/x
  3. Step 3: Cross multiply
    135,272.80x = 202,909.20 × 82,784.80
  4. Step 4: Simplify right side
    135,272.80x = 16,797,797,540.16
  5. Step 5: Solve for x
    x = 16,797,797,540.16/135,272.80
  6. Step 6: Final answer
    x = 124,177.20

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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.