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Finding the Fourth Proportional to 136.25, 204.20 and 75.41

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Solution

The fourth proportional to 136.25, 204.20 and 75.41 is: 113.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.25 : 204.20 = 75.41 : x
  2. Step 2: Convert to fraction form
    136.25/204.20 = 75.41/x
  3. Step 3: Cross multiply
    136.25x = 204.20 × 75.41
  4. Step 4: Simplify right side
    136.25x = 15,398.34
  5. Step 5: Solve for x
    x = 15,398.34/136.25
  6. Step 6: Final answer
    x = 113.02

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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.