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Finding the Fourth Proportional to 141.91, 195.88 and 109.10

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Solution

The fourth proportional to 141.91, 195.88 and 109.10 is: 150.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.91 : 195.88 = 109.10 : x
  2. Step 2: Convert to fraction form
    141.91/195.88 = 109.10/x
  3. Step 3: Cross multiply
    141.91x = 195.88 × 109.10
  4. Step 4: Simplify right side
    141.91x = 21,370.51
  5. Step 5: Solve for x
    x = 21,370.51/141.91
  6. Step 6: Final answer
    x = 150.59

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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.