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Finding the Fourth Proportional to 80,573.01, 120,855.87 and 27,986.60

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Solution

The fourth proportional to 80,573.01, 120,855.87 and 27,986.60 is: 41,978.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,573.01 : 120,855.87 = 27,986.60 : x
  2. Step 2: Convert to fraction form
    80,573.01/120,855.87 = 27,986.60/x
  3. Step 3: Cross multiply
    80,573.01x = 120,855.87 × 27,986.60
  4. Step 4: Simplify right side
    80,573.01x = 3,382,344,287.06
  5. Step 5: Solve for x
    x = 3,382,344,287.06/80,573.01
  6. Step 6: Final answer
    x = 41,978.63

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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.