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Finding the Fourth Proportional to 80,519.68, 120,796.80 and 25,120

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Solution

The fourth proportional to 80,519.68, 120,796.80 and 25,120 is: 37,685.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,519.68 : 120,796.80 = 25,120 : x
  2. Step 2: Convert to fraction form
    80,519.68/120,796.80 = 25,120/x
  3. Step 3: Cross multiply
    80,519.68x = 120,796.80 × 25,120
  4. Step 4: Simplify right side
    80,519.68x = 3,034,415,616
  5. Step 5: Solve for x
    x = 3,034,415,616/80,519.68
  6. Step 6: Final answer
    x = 37,685.39

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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.