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Finding the Fourth Proportional to 94.57, 142.52 and 78.67

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Solution

The fourth proportional to 94.57, 142.52 and 78.67 is: 118.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    94.57 : 142.52 = 78.67 : x
  2. Step 2: Convert to fraction form
    94.57/142.52 = 78.67/x
  3. Step 3: Cross multiply
    94.57x = 142.52 × 78.67
  4. Step 4: Simplify right side
    94.57x = 11,211.83
  5. Step 5: Solve for x
    x = 11,211.83/94.57
  6. Step 6: Final answer
    x = 118.56

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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.