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Finding the Fourth Proportional to 72,067.80, 108,069.30 and 27,679.80

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Solution

The fourth proportional to 72,067.80, 108,069.30 and 27,679.80 is: 41,507.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,067.80 : 108,069.30 = 27,679.80 : x
  2. Step 2: Convert to fraction form
    72,067.80/108,069.30 = 27,679.80/x
  3. Step 3: Cross multiply
    72,067.80x = 108,069.30 × 27,679.80
  4. Step 4: Simplify right side
    72,067.80x = 2,991,336,610.14
  5. Step 5: Solve for x
    x = 2,991,336,610.14/72,067.80
  6. Step 6: Final answer
    x = 41,507.26

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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.