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Finding the Fourth Proportional to 79.78, 110.50 and 73.86

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Solution

The fourth proportional to 79.78, 110.50 and 73.86 is: 102.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    79.78 : 110.50 = 73.86 : x
  2. Step 2: Convert to fraction form
    79.78/110.50 = 73.86/x
  3. Step 3: Cross multiply
    79.78x = 110.50 × 73.86
  4. Step 4: Simplify right side
    79.78x = 8,160.98
  5. Step 5: Solve for x
    x = 8,160.98/79.78
  6. Step 6: Final answer
    x = 102.29

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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.