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Finding the Fourth Proportional to 67,882.43, 101,838.29 and 20,493.59

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Solution

The fourth proportional to 67,882.43, 101,838.29 and 20,493.59 is: 30,744.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,882.43 : 101,838.29 = 20,493.59 : x
  2. Step 2: Convert to fraction form
    67,882.43/101,838.29 = 20,493.59/x
  3. Step 3: Cross multiply
    67,882.43x = 101,838.29 × 20,493.59
  4. Step 4: Simplify right side
    67,882.43x = 2,087,031,549.90
  5. Step 5: Solve for x
    x = 2,087,031,549.90/67,882.43
  6. Step 6: Final answer
    x = 30,744.80

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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.