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Finding the Fourth Proportional to 141.84, 195.78 and 83.64

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Solution

The fourth proportional to 141.84, 195.78 and 83.64 is: 115.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.84 : 195.78 = 83.64 : x
  2. Step 2: Convert to fraction form
    141.84/195.78 = 83.64/x
  3. Step 3: Cross multiply
    141.84x = 195.78 × 83.64
  4. Step 4: Simplify right side
    141.84x = 16,375.04
  5. Step 5: Solve for x
    x = 16,375.04/141.84
  6. Step 6: Final answer
    x = 115.45

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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.