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Finding the Fourth Proportional to 41,118, 61,686.75 and 13,416

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Solution

The fourth proportional to 41,118, 61,686.75 and 13,416 is: 20,127.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,118 : 61,686.75 = 13,416 : x
  2. Step 2: Convert to fraction form
    41,118/61,686.75 = 13,416/x
  3. Step 3: Cross multiply
    41,118x = 61,686.75 × 13,416
  4. Step 4: Simplify right side
    41,118x = 827,589,438
  5. Step 5: Solve for x
    x = 827,589,438/41,118
  6. Step 6: Final answer
    x = 20,127.18

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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.