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Finding the Fourth Proportional to 141.23, 193.98 and 116.61

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Solution

The fourth proportional to 141.23, 193.98 and 116.61 is: 160.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.23 : 193.98 = 116.61 : x
  2. Step 2: Convert to fraction form
    141.23/193.98 = 116.61/x
  3. Step 3: Cross multiply
    141.23x = 193.98 × 116.61
  4. Step 4: Simplify right side
    141.23x = 22,620.01
  5. Step 5: Solve for x
    x = 22,620.01/141.23
  6. Step 6: Final answer
    x = 160.17

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.