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Finding the Fourth Proportional to 67,165.22, 100,744.19 and 20,414.45

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Solution

The fourth proportional to 67,165.22, 100,744.19 and 20,414.45 is: 30,620.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,165.22 : 100,744.19 = 20,414.45 : x
  2. Step 2: Convert to fraction form
    67,165.22/100,744.19 = 20,414.45/x
  3. Step 3: Cross multiply
    67,165.22x = 100,744.19 × 20,414.45
  4. Step 4: Simplify right side
    67,165.22x = 2,056,637,481.41
  5. Step 5: Solve for x
    x = 2,056,637,481.41/67,165.22
  6. Step 6: Final answer
    x = 30,620.57

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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.