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Finding the Fourth Proportional to 140.56, 193.95 and 81.55

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Solution

The fourth proportional to 140.56, 193.95 and 81.55 is: 112.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.56 : 193.95 = 81.55 : x
  2. Step 2: Convert to fraction form
    140.56/193.95 = 81.55/x
  3. Step 3: Cross multiply
    140.56x = 193.95 × 81.55
  4. Step 4: Simplify right side
    140.56x = 15,815.93
  5. Step 5: Solve for x
    x = 15,815.93/140.56
  6. Step 6: Final answer
    x = 112.52

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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.