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Finding the Fourth Proportional to 76.62, 106.19 and 74.22

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Solution

The fourth proportional to 76.62, 106.19 and 74.22 is: 102.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.62 : 106.19 = 74.22 : x
  2. Step 2: Convert to fraction form
    76.62/106.19 = 74.22/x
  3. Step 3: Cross multiply
    76.62x = 106.19 × 74.22
  4. Step 4: Simplify right side
    76.62x = 7,881.05
  5. Step 5: Solve for x
    x = 7,881.05/76.62
  6. Step 6: Final answer
    x = 102.86

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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.