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Finding the Fourth Proportional to 78.22, 108.45 and 75.62

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Solution

The fourth proportional to 78.22, 108.45 and 75.62 is: 104.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.22 : 108.45 = 75.62 : x
  2. Step 2: Convert to fraction form
    78.22/108.45 = 75.62/x
  3. Step 3: Cross multiply
    78.22x = 108.45 × 75.62
  4. Step 4: Simplify right side
    78.22x = 8,201.54
  5. Step 5: Solve for x
    x = 8,201.54/78.22
  6. Step 6: Final answer
    x = 104.86

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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.