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Finding the Fourth Proportional to 140.13, 193.56 and 116.89

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Solution

The fourth proportional to 140.13, 193.56 and 116.89 is: 161.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.13 : 193.56 = 116.89 : x
  2. Step 2: Convert to fraction form
    140.13/193.56 = 116.89/x
  3. Step 3: Cross multiply
    140.13x = 193.56 × 116.89
  4. Step 4: Simplify right side
    140.13x = 22,626.38
  5. Step 5: Solve for x
    x = 22,626.38/140.13
  6. Step 6: Final answer
    x = 161.47

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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.