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Finding the Fourth Proportional to 112.95, 168.12 and 107.73

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Solution

The fourth proportional to 112.95, 168.12 and 107.73 is: 160.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.95 : 168.12 = 107.73 : x
  2. Step 2: Convert to fraction form
    112.95/168.12 = 107.73/x
  3. Step 3: Cross multiply
    112.95x = 168.12 × 107.73
  4. Step 4: Simplify right side
    112.95x = 18,111.57
  5. Step 5: Solve for x
    x = 18,111.57/112.95
  6. Step 6: Final answer
    x = 160.35

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.