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Finding the Fourth Proportional to 136.80, 206.19 and 125.25

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Solution

The fourth proportional to 136.80, 206.19 and 125.25 is: 188.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.80 : 206.19 = 125.25 : x
  2. Step 2: Convert to fraction form
    136.80/206.19 = 125.25/x
  3. Step 3: Cross multiply
    136.80x = 206.19 × 125.25
  4. Step 4: Simplify right side
    136.80x = 25,825.30
  5. Step 5: Solve for x
    x = 25,825.30/136.80
  6. Step 6: Final answer
    x = 188.79

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.