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Finding the Fourth Proportional to 136.49, 188.24 and 111.89

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Solution

The fourth proportional to 136.49, 188.24 and 111.89 is: 154.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.49 : 188.24 = 111.89 : x
  2. Step 2: Convert to fraction form
    136.49/188.24 = 111.89/x
  3. Step 3: Cross multiply
    136.49x = 188.24 × 111.89
  4. Step 4: Simplify right side
    136.49x = 21,062.92
  5. Step 5: Solve for x
    x = 21,062.92/136.49
  6. Step 6: Final answer
    x = 154.32

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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.