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Finding the Fourth Proportional to 188,032, 282,067.74 and 54,912.62

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Solution

The fourth proportional to 188,032, 282,067.74 and 54,912.62 is: 82,374.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,032 : 282,067.74 = 54,912.62 : x
  2. Step 2: Convert to fraction form
    188,032/282,067.74 = 54,912.62/x
  3. Step 3: Cross multiply
    188,032x = 282,067.74 × 54,912.62
  4. Step 4: Simplify right side
    188,032x = 15,489,078,620.88
  5. Step 5: Solve for x
    x = 15,489,078,620.88/188,032
  6. Step 6: Final answer
    x = 82,374.69

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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.