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Finding the Fourth Proportional to 67,213.68, 100,835.82 and 20,470.20

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Solution

The fourth proportional to 67,213.68, 100,835.82 and 20,470.20 is: 30,709.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,213.68 : 100,835.82 = 20,470.20 : x
  2. Step 2: Convert to fraction form
    67,213.68/100,835.82 = 20,470.20/x
  3. Step 3: Cross multiply
    67,213.68x = 100,835.82 × 20,470.20
  4. Step 4: Simplify right side
    67,213.68x = 2,064,129,402.56
  5. Step 5: Solve for x
    x = 2,064,129,402.56/67,213.68
  6. Step 6: Final answer
    x = 30,709.96

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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.