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Finding the Fourth Proportional to 136.50, 204.80 and 82.43

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Solution

The fourth proportional to 136.50, 204.80 and 82.43 is: 123.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.50 : 204.80 = 82.43 : x
  2. Step 2: Convert to fraction form
    136.50/204.80 = 82.43/x
  3. Step 3: Cross multiply
    136.50x = 204.80 × 82.43
  4. Step 4: Simplify right side
    136.50x = 16,881.66
  5. Step 5: Solve for x
    x = 16,881.66/136.50
  6. Step 6: Final answer
    x = 123.68

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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.