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Finding the Fourth Proportional to 119.97, 178.69 and 112.48

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Solution

The fourth proportional to 119.97, 178.69 and 112.48 is: 167.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.97 : 178.69 = 112.48 : x
  2. Step 2: Convert to fraction form
    119.97/178.69 = 112.48/x
  3. Step 3: Cross multiply
    119.97x = 178.69 × 112.48
  4. Step 4: Simplify right side
    119.97x = 20,098.49
  5. Step 5: Solve for x
    x = 20,098.49/119.97
  6. Step 6: Final answer
    x = 167.53

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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.