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Finding the Fourth Proportional to 67,189.77, 100,781.01 and 20,439

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Solution

The fourth proportional to 67,189.77, 100,781.01 and 20,439 is: 30,657.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,189.77 : 100,781.01 = 20,439 : x
  2. Step 2: Convert to fraction form
    67,189.77/100,781.01 = 20,439/x
  3. Step 3: Cross multiply
    67,189.77x = 100,781.01 × 20,439
  4. Step 4: Simplify right side
    67,189.77x = 2,059,863,063.39
  5. Step 5: Solve for x
    x = 2,059,863,063.39/67,189.77
  6. Step 6: Final answer
    x = 30,657.39

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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.