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Finding the Fourth Proportional to 141.79, 212.75 and 80.95

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Solution

The fourth proportional to 141.79, 212.75 and 80.95 is: 121.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.79 : 212.75 = 80.95 : x
  2. Step 2: Convert to fraction form
    141.79/212.75 = 80.95/x
  3. Step 3: Cross multiply
    141.79x = 212.75 × 80.95
  4. Step 4: Simplify right side
    141.79x = 17,222.11
  5. Step 5: Solve for x
    x = 17,222.11/141.79
  6. Step 6: Final answer
    x = 121.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.