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Finding the Fourth Proportional to 87.83, 120.83 and 79.55

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Solution

The fourth proportional to 87.83, 120.83 and 79.55 is: 109.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    87.83 : 120.83 = 79.55 : x
  2. Step 2: Convert to fraction form
    87.83/120.83 = 79.55/x
  3. Step 3: Cross multiply
    87.83x = 120.83 × 79.55
  4. Step 4: Simplify right side
    87.83x = 9,612.03
  5. Step 5: Solve for x
    x = 9,612.03/87.83
  6. Step 6: Final answer
    x = 109.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.