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Finding the Fourth Proportional to 139.96, 193.12 and 81.73

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Solution

The fourth proportional to 139.96, 193.12 and 81.73 is: 112.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    139.96 : 193.12 = 81.73 : x
  2. Step 2: Convert to fraction form
    139.96/193.12 = 81.73/x
  3. Step 3: Cross multiply
    139.96x = 193.12 × 81.73
  4. Step 4: Simplify right side
    139.96x = 15,783.70
  5. Step 5: Solve for x
    x = 15,783.70/139.96
  6. Step 6: Final answer
    x = 112.77

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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.