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Finding the Fourth Proportional to 119.76, 179.70 and 83.71

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Solution

The fourth proportional to 119.76, 179.70 and 83.71 is: 125.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.76 : 179.70 = 83.71 : x
  2. Step 2: Convert to fraction form
    119.76/179.70 = 83.71/x
  3. Step 3: Cross multiply
    119.76x = 179.70 × 83.71
  4. Step 4: Simplify right side
    119.76x = 15,042.69
  5. Step 5: Solve for x
    x = 15,042.69/119.76
  6. Step 6: Final answer
    x = 125.61

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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.