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Finding the Fourth Proportional to 140.45, 193.84 and 78.29

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Solution

The fourth proportional to 140.45, 193.84 and 78.29 is: 108.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.45 : 193.84 = 78.29 : x
  2. Step 2: Convert to fraction form
    140.45/193.84 = 78.29/x
  3. Step 3: Cross multiply
    140.45x = 193.84 × 78.29
  4. Step 4: Simplify right side
    140.45x = 15,175.73
  5. Step 5: Solve for x
    x = 15,175.73/140.45
  6. Step 6: Final answer
    x = 108.05

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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.