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Finding the Fourth Proportional to 136.85, 204.30 and 124.09

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Solution

The fourth proportional to 136.85, 204.30 and 124.09 is: 185.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.85 : 204.30 = 124.09 : x
  2. Step 2: Convert to fraction form
    136.85/204.30 = 124.09/x
  3. Step 3: Cross multiply
    136.85x = 204.30 × 124.09
  4. Step 4: Simplify right side
    136.85x = 25,351.08
  5. Step 5: Solve for x
    x = 25,351.08/136.85
  6. Step 6: Final answer
    x = 185.25

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.