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Finding the Fourth Proportional to 136.52, 204.48 and 95.78

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Solution

The fourth proportional to 136.52, 204.48 and 95.78 is: 143.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.52 : 204.48 = 95.78 : x
  2. Step 2: Convert to fraction form
    136.52/204.48 = 95.78/x
  3. Step 3: Cross multiply
    136.52x = 204.48 × 95.78
  4. Step 4: Simplify right side
    136.52x = 19,585.09
  5. Step 5: Solve for x
    x = 19,585.09/136.52
  6. Step 6: Final answer
    x = 143.46

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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.