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Finding the Fourth Proportional to 136.12, 205.15 and 123.04

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Solution

The fourth proportional to 136.12, 205.15 and 123.04 is: 185.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.12 : 205.15 = 123.04 : x
  2. Step 2: Convert to fraction form
    136.12/205.15 = 123.04/x
  3. Step 3: Cross multiply
    136.12x = 205.15 × 123.04
  4. Step 4: Simplify right side
    136.12x = 25,241.66
  5. Step 5: Solve for x
    x = 25,241.66/136.12
  6. Step 6: Final answer
    x = 185.44

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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.