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Finding the Fourth Proportional to 136.46, 188.36 and 111.96

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Solution

The fourth proportional to 136.46, 188.36 and 111.96 is: 154.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.46 : 188.36 = 111.96 : x
  2. Step 2: Convert to fraction form
    136.46/188.36 = 111.96/x
  3. Step 3: Cross multiply
    136.46x = 188.36 × 111.96
  4. Step 4: Simplify right side
    136.46x = 21,088.23
  5. Step 5: Solve for x
    x = 21,088.23/136.46
  6. Step 6: Final answer
    x = 154.54

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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.