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Finding the Fourth Proportional to 136.90, 204.22 and 123.13

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Solution

The fourth proportional to 136.90, 204.22 and 123.13 is: 183.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.90 : 204.22 = 123.13 : x
  2. Step 2: Convert to fraction form
    136.90/204.22 = 123.13/x
  3. Step 3: Cross multiply
    136.90x = 204.22 × 123.13
  4. Step 4: Simplify right side
    136.90x = 25,145.61
  5. Step 5: Solve for x
    x = 25,145.61/136.90
  6. Step 6: Final answer
    x = 183.68

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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.