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Finding the Fourth Proportional to 67,165.41, 100,744.47 and 20,414.64

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Solution

The fourth proportional to 67,165.41, 100,744.47 and 20,414.64 is: 30,620.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,165.41 : 100,744.47 = 20,414.64 : x
  2. Step 2: Convert to fraction form
    67,165.41/100,744.47 = 20,414.64/x
  3. Step 3: Cross multiply
    67,165.41x = 100,744.47 × 20,414.64
  4. Step 4: Simplify right side
    67,165.41x = 2,056,662,087.04
  5. Step 5: Solve for x
    x = 2,056,662,087.04/67,165.41
  6. Step 6: Final answer
    x = 30,620.85

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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.