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Finding the Fourth Proportional to 104.73, 144.49 and 61.05

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Solution

The fourth proportional to 104.73, 144.49 and 61.05 is: 84.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    104.73 : 144.49 = 61.05 : x
  2. Step 2: Convert to fraction form
    104.73/144.49 = 61.05/x
  3. Step 3: Cross multiply
    104.73x = 144.49 × 61.05
  4. Step 4: Simplify right side
    104.73x = 8,821.11
  5. Step 5: Solve for x
    x = 8,821.11/104.73
  6. Step 6: Final answer
    x = 84.23

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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.