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Finding the Fourth Proportional to 141.99, 195.75 and 110.78

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Solution

The fourth proportional to 141.99, 195.75 and 110.78 is: 152.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.99 : 195.75 = 110.78 : x
  2. Step 2: Convert to fraction form
    141.99/195.75 = 110.78/x
  3. Step 3: Cross multiply
    141.99x = 195.75 × 110.78
  4. Step 4: Simplify right side
    141.99x = 21,684.94
  5. Step 5: Solve for x
    x = 21,684.94/141.99
  6. Step 6: Final answer
    x = 152.73

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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.