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Finding the Fourth Proportional to 188,067.21, 282,101.11 and 66,578.14

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Solution

The fourth proportional to 188,067.21, 282,101.11 and 66,578.14 is: 99,867.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,067.21 : 282,101.11 = 66,578.14 : x
  2. Step 2: Convert to fraction form
    188,067.21/282,101.11 = 66,578.14/x
  3. Step 3: Cross multiply
    188,067.21x = 282,101.11 × 66,578.14
  4. Step 4: Simplify right side
    188,067.21x = 18,781,767,195.74
  5. Step 5: Solve for x
    x = 18,781,767,195.74/188,067.21
  6. Step 6: Final answer
    x = 99,867.31

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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.