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Finding the Fourth Proportional to 94.50, 142.39 and 78.60

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Solution

The fourth proportional to 94.50, 142.39 and 78.60 is: 118.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    94.50 : 142.39 = 78.60 : x
  2. Step 2: Convert to fraction form
    94.50/142.39 = 78.60/x
  3. Step 3: Cross multiply
    94.50x = 142.39 × 78.60
  4. Step 4: Simplify right side
    94.50x = 11,191.85
  5. Step 5: Solve for x
    x = 11,191.85/94.50
  6. Step 6: Final answer
    x = 118.43

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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.