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Finding the Fourth Proportional to 94.15, 129.32 and 77.74

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Solution

The fourth proportional to 94.15, 129.32 and 77.74 is: 106.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    94.15 : 129.32 = 77.74 : x
  2. Step 2: Convert to fraction form
    94.15/129.32 = 77.74/x
  3. Step 3: Cross multiply
    94.15x = 129.32 × 77.74
  4. Step 4: Simplify right side
    94.15x = 10,053.34
  5. Step 5: Solve for x
    x = 10,053.34/94.15
  6. Step 6: Final answer
    x = 106.78

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.