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Finding the Fourth Proportional to 141.66, 195.24 and 116.84

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Solution

The fourth proportional to 141.66, 195.24 and 116.84 is: 161.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.66 : 195.24 = 116.84 : x
  2. Step 2: Convert to fraction form
    141.66/195.24 = 116.84/x
  3. Step 3: Cross multiply
    141.66x = 195.24 × 116.84
  4. Step 4: Simplify right side
    141.66x = 22,810.87
  5. Step 5: Solve for x
    x = 22,810.87/141.66
  6. Step 6: Final answer
    x = 161.03

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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.