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Finding the Fourth Proportional to 104.95, 144.70 and 87.49

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Solution

The fourth proportional to 104.95, 144.70 and 87.49 is: 120.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    104.95 : 144.70 = 87.49 : x
  2. Step 2: Convert to fraction form
    104.95/144.70 = 87.49/x
  3. Step 3: Cross multiply
    104.95x = 144.70 × 87.49
  4. Step 4: Simplify right side
    104.95x = 12,659.80
  5. Step 5: Solve for x
    x = 12,659.80/104.95
  6. Step 6: Final answer
    x = 120.63

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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.