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Finding the Fourth Proportional to 55,198.32, 76,175.64 and 31,326

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Solution

The fourth proportional to 55,198.32, 76,175.64 and 31,326 is: 43,230.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,198.32 : 76,175.64 = 31,326 : x
  2. Step 2: Convert to fraction form
    55,198.32/76,175.64 = 31,326/x
  3. Step 3: Cross multiply
    55,198.32x = 76,175.64 × 31,326
  4. Step 4: Simplify right side
    55,198.32x = 2,386,278,098.64
  5. Step 5: Solve for x
    x = 2,386,278,098.64/55,198.32
  6. Step 6: Final answer
    x = 43,230.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.