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Finding the Fourth Proportional to 141.19, 194.87 and 83.00

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Solution

The fourth proportional to 141.19, 194.87 and 83.00 is: 114.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.19 : 194.87 = 83.00 : x
  2. Step 2: Convert to fraction form
    141.19/194.87 = 83.00/x
  3. Step 3: Cross multiply
    141.19x = 194.87 × 83.00
  4. Step 4: Simplify right side
    141.19x = 16,174.90
  5. Step 5: Solve for x
    x = 16,174.90/141.19
  6. Step 6: Final answer
    x = 114.56

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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.