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Finding the Fourth Proportional to 94.92, 141.96 and 78.56

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Solution

The fourth proportional to 94.92, 141.96 and 78.56 is: 117.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    94.92 : 141.96 = 78.56 : x
  2. Step 2: Convert to fraction form
    94.92/141.96 = 78.56/x
  3. Step 3: Cross multiply
    94.92x = 141.96 × 78.56
  4. Step 4: Simplify right side
    94.92x = 11,152.38
  5. Step 5: Solve for x
    x = 11,152.38/94.92
  6. Step 6: Final answer
    x = 117.49

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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.