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Finding the Fourth Proportional to 80,647.80, 120,991.54 and 28,057.74

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Solution

The fourth proportional to 80,647.80, 120,991.54 and 28,057.74 is: 42,093.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,647.80 : 120,991.54 = 28,057.74 : x
  2. Step 2: Convert to fraction form
    80,647.80/120,991.54 = 28,057.74/x
  3. Step 3: Cross multiply
    80,647.80x = 120,991.54 × 28,057.74
  4. Step 4: Simplify right side
    80,647.80x = 3,394,749,171.52
  5. Step 5: Solve for x
    x = 3,394,749,171.52/80,647.80
  6. Step 6: Final answer
    x = 42,093.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.