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Finding the Fourth Proportional to 94.29, 129.96 and 78.69

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Solution

The fourth proportional to 94.29, 129.96 and 78.69 is: 108.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    94.29 : 129.96 = 78.69 : x
  2. Step 2: Convert to fraction form
    94.29/129.96 = 78.69/x
  3. Step 3: Cross multiply
    94.29x = 129.96 × 78.69
  4. Step 4: Simplify right side
    94.29x = 10,226.55
  5. Step 5: Solve for x
    x = 10,226.55/94.29
  6. Step 6: Final answer
    x = 108.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.