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Finding the Fourth Proportional to 124.12, 186.17 and 41.86

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Solution

The fourth proportional to 124.12, 186.17 and 41.86 is: 62.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    124.12 : 186.17 = 41.86 : x
  2. Step 2: Convert to fraction form
    124.12/186.17 = 41.86/x
  3. Step 3: Cross multiply
    124.12x = 186.17 × 41.86
  4. Step 4: Simplify right side
    124.12x = 7,792.72
  5. Step 5: Solve for x
    x = 7,792.72/124.12
  6. Step 6: Final answer
    x = 62.78

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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.