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Finding the Fourth Proportional to 124.48, 185.76 and 119.20

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Solution

The fourth proportional to 124.48, 185.76 and 119.20 is: 177.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    124.48 : 185.76 = 119.20 : x
  2. Step 2: Convert to fraction form
    124.48/185.76 = 119.20/x
  3. Step 3: Cross multiply
    124.48x = 185.76 × 119.20
  4. Step 4: Simplify right side
    124.48x = 22,142.59
  5. Step 5: Solve for x
    x = 22,142.59/124.48
  6. Step 6: Final answer
    x = 177.88

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.