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Finding the Fourth Proportional to 109, 164.17 and 82.12

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Solution

The fourth proportional to 109, 164.17 and 82.12 is: 123.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    109 : 164.17 = 82.12 : x
  2. Step 2: Convert to fraction form
    109/164.17 = 82.12/x
  3. Step 3: Cross multiply
    109x = 164.17 × 82.12
  4. Step 4: Simplify right side
    109x = 13,481.64
  5. Step 5: Solve for x
    x = 13,481.64/109
  6. Step 6: Final answer
    x = 123.68

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.