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Finding the Fourth Proportional to 136.09, 203.68 and 84.56

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Solution

The fourth proportional to 136.09, 203.68 and 84.56 is: 126.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.09 : 203.68 = 84.56 : x
  2. Step 2: Convert to fraction form
    136.09/203.68 = 84.56/x
  3. Step 3: Cross multiply
    136.09x = 203.68 × 84.56
  4. Step 4: Simplify right side
    136.09x = 17,221.74
  5. Step 5: Solve for x
    x = 17,221.74/136.09
  6. Step 6: Final answer
    x = 126.55

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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.