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Finding the Fourth Proportional to 75,189, 112,791.12 and 27,816.60

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Solution

The fourth proportional to 75,189, 112,791.12 and 27,816.60 is: 41,727.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,189 : 112,791.12 = 27,816.60 : x
  2. Step 2: Convert to fraction form
    75,189/112,791.12 = 27,816.60/x
  3. Step 3: Cross multiply
    75,189x = 112,791.12 × 27,816.60
  4. Step 4: Simplify right side
    75,189x = 3,137,465,468.59
  5. Step 5: Solve for x
    x = 3,137,465,468.59/75,189
  6. Step 6: Final answer
    x = 41,727.72

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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.