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Finding the Fourth Proportional to 136.06, 203.92 and 118.86

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Solution

The fourth proportional to 136.06, 203.92 and 118.86 is: 178.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.06 : 203.92 = 118.86 : x
  2. Step 2: Convert to fraction form
    136.06/203.92 = 118.86/x
  3. Step 3: Cross multiply
    136.06x = 203.92 × 118.86
  4. Step 4: Simplify right side
    136.06x = 24,237.93
  5. Step 5: Solve for x
    x = 24,237.93/136.06
  6. Step 6: Final answer
    x = 178.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.