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Finding the Fourth Proportional to 141.94, 195.74 and 97.78

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Solution

The fourth proportional to 141.94, 195.74 and 97.78 is: 134.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.94 : 195.74 = 97.78 : x
  2. Step 2: Convert to fraction form
    141.94/195.74 = 97.78/x
  3. Step 3: Cross multiply
    141.94x = 195.74 × 97.78
  4. Step 4: Simplify right side
    141.94x = 19,139.46
  5. Step 5: Solve for x
    x = 19,139.46/141.94
  6. Step 6: Final answer
    x = 134.84

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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.