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Finding the Fourth Proportional to 104.80, 144.62 and 72.05

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Solution

The fourth proportional to 104.80, 144.62 and 72.05 is: 99.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    104.80 : 144.62 = 72.05 : x
  2. Step 2: Convert to fraction form
    104.80/144.62 = 72.05/x
  3. Step 3: Cross multiply
    104.80x = 144.62 × 72.05
  4. Step 4: Simplify right side
    104.80x = 10,419.87
  5. Step 5: Solve for x
    x = 10,419.87/104.80
  6. Step 6: Final answer
    x = 99.43

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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.