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Finding the Fourth Proportional to 107.82, 149.07 and 85.95

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Solution

The fourth proportional to 107.82, 149.07 and 85.95 is: 118.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.82 : 149.07 = 85.95 : x
  2. Step 2: Convert to fraction form
    107.82/149.07 = 85.95/x
  3. Step 3: Cross multiply
    107.82x = 149.07 × 85.95
  4. Step 4: Simplify right side
    107.82x = 12,812.57
  5. Step 5: Solve for x
    x = 12,812.57/107.82
  6. Step 6: Final answer
    x = 118.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.