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Finding the Fourth Proportional to 107.73, 162.17 and 82.18

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Solution

The fourth proportional to 107.73, 162.17 and 82.18 is: 123.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.73 : 162.17 = 82.18 : x
  2. Step 2: Convert to fraction form
    107.73/162.17 = 82.18/x
  3. Step 3: Cross multiply
    107.73x = 162.17 × 82.18
  4. Step 4: Simplify right side
    107.73x = 13,327.23
  5. Step 5: Solve for x
    x = 13,327.23/107.73
  6. Step 6: Final answer
    x = 123.71

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