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Finding the Fourth Proportional to 67,877.59, 101,832.85 and 20,489.85

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Solution

The fourth proportional to 67,877.59, 101,832.85 and 20,489.85 is: 30,739.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,877.59 : 101,832.85 = 20,489.85 : x
  2. Step 2: Convert to fraction form
    67,877.59/101,832.85 = 20,489.85/x
  3. Step 3: Cross multiply
    67,877.59x = 101,832.85 × 20,489.85
  4. Step 4: Simplify right side
    67,877.59x = 2,086,540,037.74
  5. Step 5: Solve for x
    x = 2,086,540,037.74/67,877.59
  6. Step 6: Final answer
    x = 30,739.75

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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.