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Finding the Fourth Proportional to 140.43, 193.77 and 81.40

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Solution

The fourth proportional to 140.43, 193.77 and 81.40 is: 112.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.43 : 193.77 = 81.40 : x
  2. Step 2: Convert to fraction form
    140.43/193.77 = 81.40/x
  3. Step 3: Cross multiply
    140.43x = 193.77 × 81.40
  4. Step 4: Simplify right side
    140.43x = 15,772.88
  5. Step 5: Solve for x
    x = 15,772.88/140.43
  6. Step 6: Final answer
    x = 112.32

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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.