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Finding the Fourth Proportional to 119.20, 178.84 and 71.12

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Solution

The fourth proportional to 119.20, 178.84 and 71.12 is: 106.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.20 : 178.84 = 71.12 : x
  2. Step 2: Convert to fraction form
    119.20/178.84 = 71.12/x
  3. Step 3: Cross multiply
    119.20x = 178.84 × 71.12
  4. Step 4: Simplify right side
    119.20x = 12,719.10
  5. Step 5: Solve for x
    x = 12,719.10/119.20
  6. Step 6: Final answer
    x = 106.70

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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.