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Finding the Fourth Proportional to 67,211.81, 100,832.31 and 20,463.47

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Solution

The fourth proportional to 67,211.81, 100,832.31 and 20,463.47 is: 30,699.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,211.81 : 100,832.31 = 20,463.47 : x
  2. Step 2: Convert to fraction form
    67,211.81/100,832.31 = 20,463.47/x
  3. Step 3: Cross multiply
    67,211.81x = 100,832.31 × 20,463.47
  4. Step 4: Simplify right side
    67,211.81x = 2,063,378,824.68
  5. Step 5: Solve for x
    x = 2,063,378,824.68/67,211.81
  6. Step 6: Final answer
    x = 30,699.65

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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.