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Finding the Fourth Proportional to 141.18, 194.88 and 97.50

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Solution

The fourth proportional to 141.18, 194.88 and 97.50 is: 134.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.18 : 194.88 = 97.50 : x
  2. Step 2: Convert to fraction form
    141.18/194.88 = 97.50/x
  3. Step 3: Cross multiply
    141.18x = 194.88 × 97.50
  4. Step 4: Simplify right side
    141.18x = 19,000.80
  5. Step 5: Solve for x
    x = 19,000.80/141.18
  6. Step 6: Final answer
    x = 134.59

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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.