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Finding the Fourth Proportional to 136.79, 189.54 and 135.11

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Solution

The fourth proportional to 136.79, 189.54 and 135.11 is: 187.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.79 : 189.54 = 135.11 : x
  2. Step 2: Convert to fraction form
    136.79/189.54 = 135.11/x
  3. Step 3: Cross multiply
    136.79x = 189.54 × 135.11
  4. Step 4: Simplify right side
    136.79x = 25,609.22
  5. Step 5: Solve for x
    x = 25,609.22/136.79
  6. Step 6: Final answer
    x = 187.22

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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.