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Finding the Fourth Proportional to 41,154.08, 61,734 and 20,372

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Solution

The fourth proportional to 41,154.08, 61,734 and 20,372 is: 30,559.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,154.08 : 61,734 = 20,372 : x
  2. Step 2: Convert to fraction form
    41,154.08/61,734 = 20,372/x
  3. Step 3: Cross multiply
    41,154.08x = 61,734 × 20,372
  4. Step 4: Simplify right side
    41,154.08x = 1,257,645,048
  5. Step 5: Solve for x
    x = 1,257,645,048/41,154.08
  6. Step 6: Final answer
    x = 30,559.43

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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.