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Finding the Fourth Proportional to 57,144.97, 85,642.94 and 31,843.43

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Solution

The fourth proportional to 57,144.97, 85,642.94 and 31,843.43 is: 47,723.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,144.97 : 85,642.94 = 31,843.43 : x
  2. Step 2: Convert to fraction form
    57,144.97/85,642.94 = 31,843.43/x
  3. Step 3: Cross multiply
    57,144.97x = 85,642.94 × 31,843.43
  4. Step 4: Simplify right side
    57,144.97x = 2,727,164,937.44
  5. Step 5: Solve for x
    x = 2,727,164,937.44/57,144.97
  6. Step 6: Final answer
    x = 47,723.62

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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.