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Finding the Fourth Proportional to 104.59, 144.21 and 83.80

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Solution

The fourth proportional to 104.59, 144.21 and 83.80 is: 115.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    104.59 : 144.21 = 83.80 : x
  2. Step 2: Convert to fraction form
    104.59/144.21 = 83.80/x
  3. Step 3: Cross multiply
    104.59x = 144.21 × 83.80
  4. Step 4: Simplify right side
    104.59x = 12,084.80
  5. Step 5: Solve for x
    x = 12,084.80/104.59
  6. Step 6: Final answer
    x = 115.54

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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.