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Finding the Fourth Proportional to 136.22, 188.25 and 111.61

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Solution

The fourth proportional to 136.22, 188.25 and 111.61 is: 154.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.22 : 188.25 = 111.61 : x
  2. Step 2: Convert to fraction form
    136.22/188.25 = 111.61/x
  3. Step 3: Cross multiply
    136.22x = 188.25 × 111.61
  4. Step 4: Simplify right side
    136.22x = 21,009.64
  5. Step 5: Solve for x
    x = 21,009.64/136.22
  6. Step 6: Final answer
    x = 154.23

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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.