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Finding the Fourth Proportional to 141.12, 194.69 and 97.49

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Solution

The fourth proportional to 141.12, 194.69 and 97.49 is: 134.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.12 : 194.69 = 97.49 : x
  2. Step 2: Convert to fraction form
    141.12/194.69 = 97.49/x
  3. Step 3: Cross multiply
    141.12x = 194.69 × 97.49
  4. Step 4: Simplify right side
    141.12x = 18,981.06
  5. Step 5: Solve for x
    x = 18,981.06/141.12
  6. Step 6: Final answer
    x = 134.50

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.