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Finding the Fourth Proportional to 136.20, 187.38 and 126.96

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Solution

The fourth proportional to 136.20, 187.38 and 126.96 is: 174.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.20 : 187.38 = 126.96 : x
  2. Step 2: Convert to fraction form
    136.20/187.38 = 126.96/x
  3. Step 3: Cross multiply
    136.20x = 187.38 × 126.96
  4. Step 4: Simplify right side
    136.20x = 23,789.76
  5. Step 5: Solve for x
    x = 23,789.76/136.20
  6. Step 6: Final answer
    x = 174.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.