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Finding the Fourth Proportional to 57,331, 85,999.74 and 20,395

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Solution

The fourth proportional to 57,331, 85,999.74 and 20,395 is: 30,593.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,331 : 85,999.74 = 20,395 : x
  2. Step 2: Convert to fraction form
    57,331/85,999.74 = 20,395/x
  3. Step 3: Cross multiply
    57,331x = 85,999.74 × 20,395
  4. Step 4: Simplify right side
    57,331x = 1,753,964,697.30
  5. Step 5: Solve for x
    x = 1,753,964,697.30/57,331
  6. Step 6: Final answer
    x = 30,593.65

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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.