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Finding the Fourth Proportional to 136.72, 189.96 and 135

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Solution

The fourth proportional to 136.72, 189.96 and 135 is: 187.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.72 : 189.96 = 135 : x
  2. Step 2: Convert to fraction form
    136.72/189.96 = 135/x
  3. Step 3: Cross multiply
    136.72x = 189.96 × 135
  4. Step 4: Simplify right side
    136.72x = 25,644.60
  5. Step 5: Solve for x
    x = 25,644.60/136.72
  6. Step 6: Final answer
    x = 187.57

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.