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Finding the Fourth Proportional to 141.84, 195.78 and 92.70

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Solution

The fourth proportional to 141.84, 195.78 and 92.70 is: 127.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.84 : 195.78 = 92.70 : x
  2. Step 2: Convert to fraction form
    141.84/195.78 = 92.70/x
  3. Step 3: Cross multiply
    141.84x = 195.78 × 92.70
  4. Step 4: Simplify right side
    141.84x = 18,148.81
  5. Step 5: Solve for x
    x = 18,148.81/141.84
  6. Step 6: Final answer
    x = 127.95

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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.