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Finding the Fourth Proportional to 77.96, 108.13 and 74.60

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Solution

The fourth proportional to 77.96, 108.13 and 74.60 is: 103.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.96 : 108.13 = 74.60 : x
  2. Step 2: Convert to fraction form
    77.96/108.13 = 74.60/x
  3. Step 3: Cross multiply
    77.96x = 108.13 × 74.60
  4. Step 4: Simplify right side
    77.96x = 8,066.50
  5. Step 5: Solve for x
    x = 8,066.50/77.96
  6. Step 6: Final answer
    x = 103.47

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.