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Finding the Fourth Proportional to 124.12, 185.77 and 113.73

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Solution

The fourth proportional to 124.12, 185.77 and 113.73 is: 170.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    124.12 : 185.77 = 113.73 : x
  2. Step 2: Convert to fraction form
    124.12/185.77 = 113.73/x
  3. Step 3: Cross multiply
    124.12x = 185.77 × 113.73
  4. Step 4: Simplify right side
    124.12x = 21,127.62
  5. Step 5: Solve for x
    x = 21,127.62/124.12
  6. Step 6: Final answer
    x = 170.22

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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.