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Finding the Fourth Proportional to 136.60, 203.94 and 123.85

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Solution

The fourth proportional to 136.60, 203.94 and 123.85 is: 184.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.60 : 203.94 = 123.85 : x
  2. Step 2: Convert to fraction form
    136.60/203.94 = 123.85/x
  3. Step 3: Cross multiply
    136.60x = 203.94 × 123.85
  4. Step 4: Simplify right side
    136.60x = 25,256.33
  5. Step 5: Solve for x
    x = 25,256.33/136.60
  6. Step 6: Final answer
    x = 184.90

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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.