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Finding the Fourth Proportional to 141.99, 196.04 and 109.19

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Solution

The fourth proportional to 141.99, 196.04 and 109.19 is: 150.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.99 : 196.04 = 109.19 : x
  2. Step 2: Convert to fraction form
    141.99/196.04 = 109.19/x
  3. Step 3: Cross multiply
    141.99x = 196.04 × 109.19
  4. Step 4: Simplify right side
    141.99x = 21,405.61
  5. Step 5: Solve for x
    x = 21,405.61/141.99
  6. Step 6: Final answer
    x = 150.75

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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.