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Finding the Fourth Proportional to 141.91, 195.78 and 105.00

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Solution

The fourth proportional to 141.91, 195.78 and 105.00 is: 144.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.91 : 195.78 = 105.00 : x
  2. Step 2: Convert to fraction form
    141.91/195.78 = 105.00/x
  3. Step 3: Cross multiply
    141.91x = 195.78 × 105.00
  4. Step 4: Simplify right side
    141.91x = 20,556.56
  5. Step 5: Solve for x
    x = 20,556.56/141.91
  6. Step 6: Final answer
    x = 144.86

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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.