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Finding the Fourth Proportional to 136.27, 203.92 and 84.92

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Solution

The fourth proportional to 136.27, 203.92 and 84.92 is: 127.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.27 : 203.92 = 84.92 : x
  2. Step 2: Convert to fraction form
    136.27/203.92 = 84.92/x
  3. Step 3: Cross multiply
    136.27x = 203.92 × 84.92
  4. Step 4: Simplify right side
    136.27x = 17,316.89
  5. Step 5: Solve for x
    x = 17,316.89/136.27
  6. Step 6: Final answer
    x = 127.08

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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.