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Finding the Fourth Proportional to 119.72, 178.62 and 105.14

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Solution

The fourth proportional to 119.72, 178.62 and 105.14 is: 156.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.72 : 178.62 = 105.14 : x
  2. Step 2: Convert to fraction form
    119.72/178.62 = 105.14/x
  3. Step 3: Cross multiply
    119.72x = 178.62 × 105.14
  4. Step 4: Simplify right side
    119.72x = 18,780.11
  5. Step 5: Solve for x
    x = 18,780.11/119.72
  6. Step 6: Final answer
    x = 156.87

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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.