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Finding the Fourth Proportional to 94.18, 141.97 and 78.25

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Solution

The fourth proportional to 94.18, 141.97 and 78.25 is: 117.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    94.18 : 141.97 = 78.25 : x
  2. Step 2: Convert to fraction form
    94.18/141.97 = 78.25/x
  3. Step 3: Cross multiply
    94.18x = 141.97 × 78.25
  4. Step 4: Simplify right side
    94.18x = 11,109.15
  5. Step 5: Solve for x
    x = 11,109.15/94.18
  6. Step 6: Final answer
    x = 117.96

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.