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Finding the Fourth Proportional to 94.82, 141.47 and 80.48

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Solution

The fourth proportional to 94.82, 141.47 and 80.48 is: 120.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    94.82 : 141.47 = 80.48 : x
  2. Step 2: Convert to fraction form
    94.82/141.47 = 80.48/x
  3. Step 3: Cross multiply
    94.82x = 141.47 × 80.48
  4. Step 4: Simplify right side
    94.82x = 11,385.10
  5. Step 5: Solve for x
    x = 11,385.10/94.82
  6. Step 6: Final answer
    x = 120.07

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.