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Finding the Fourth Proportional to 134, 201.01 and 82.61

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Solution

The fourth proportional to 134, 201.01 and 82.61 is: 123.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    134 : 201.01 = 82.61 : x
  2. Step 2: Convert to fraction form
    134/201.01 = 82.61/x
  3. Step 3: Cross multiply
    134x = 201.01 × 82.61
  4. Step 4: Simplify right side
    134x = 16,605.02
  5. Step 5: Solve for x
    x = 16,605.02/134
  6. Step 6: Final answer
    x = 123.92

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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.