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Finding the Fourth Proportional to 50,721.75, 76,067.75 and 19,109

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Solution

The fourth proportional to 50,721.75, 76,067.75 and 19,109 is: 28,657.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,721.75 : 76,067.75 = 19,109 : x
  2. Step 2: Convert to fraction form
    50,721.75/76,067.75 = 19,109/x
  3. Step 3: Cross multiply
    50,721.75x = 76,067.75 × 19,109
  4. Step 4: Simplify right side
    50,721.75x = 1,453,578,634.75
  5. Step 5: Solve for x
    x = 1,453,578,634.75/50,721.75
  6. Step 6: Final answer
    x = 28,657.90

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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.