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Finding the Fourth Proportional to 67,212.68, 100,834.32 and 20,469.20

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Solution

The fourth proportional to 67,212.68, 100,834.32 and 20,469.20 is: 30,708.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,212.68 : 100,834.32 = 20,469.20 : x
  2. Step 2: Convert to fraction form
    67,212.68/100,834.32 = 20,469.20/x
  3. Step 3: Cross multiply
    67,212.68x = 100,834.32 × 20,469.20
  4. Step 4: Simplify right side
    67,212.68x = 2,063,997,862.94
  5. Step 5: Solve for x
    x = 2,063,997,862.94/67,212.68
  6. Step 6: Final answer
    x = 30,708.46

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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.