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Finding the Fourth Proportional to 94.50, 142.49 and 76.68

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Solution

The fourth proportional to 94.50, 142.49 and 76.68 is: 115.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    94.50 : 142.49 = 76.68 : x
  2. Step 2: Convert to fraction form
    94.50/142.49 = 76.68/x
  3. Step 3: Cross multiply
    94.50x = 142.49 × 76.68
  4. Step 4: Simplify right side
    94.50x = 10,926.32
  5. Step 5: Solve for x
    x = 10,926.32/94.50
  6. Step 6: Final answer
    x = 115.62

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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.