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Finding the Fourth Proportional to 57,330, 85,998.24 and 20,394

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Solution

The fourth proportional to 57,330, 85,998.24 and 20,394 is: 30,592.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,330 : 85,998.24 = 20,394 : x
  2. Step 2: Convert to fraction form
    57,330/85,998.24 = 20,394/x
  3. Step 3: Cross multiply
    57,330x = 85,998.24 × 20,394
  4. Step 4: Simplify right side
    57,330x = 1,753,848,106.56
  5. Step 5: Solve for x
    x = 1,753,848,106.56/57,330
  6. Step 6: Final answer
    x = 30,592.15

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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.