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Finding the Fourth Proportional to 27,027.19, 40,540.78 and 19,678.41

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Solution

The fourth proportional to 27,027.19, 40,540.78 and 19,678.41 is: 29,517.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,027.19 : 40,540.78 = 19,678.41 : x
  2. Step 2: Convert to fraction form
    27,027.19/40,540.78 = 19,678.41/x
  3. Step 3: Cross multiply
    27,027.19x = 40,540.78 × 19,678.41
  4. Step 4: Simplify right side
    27,027.19x = 797,777,992.17
  5. Step 5: Solve for x
    x = 797,777,992.17/27,027.19
  6. Step 6: Final answer
    x = 29,517.61

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.