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Finding the Fourth Proportional to 50,662.88, 75,991.44 and 13,724

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Solution

The fourth proportional to 50,662.88, 75,991.44 and 13,724 is: 20,585.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,662.88 : 75,991.44 = 13,724 : x
  2. Step 2: Convert to fraction form
    50,662.88/75,991.44 = 13,724/x
  3. Step 3: Cross multiply
    50,662.88x = 75,991.44 × 13,724
  4. Step 4: Simplify right side
    50,662.88x = 1,042,906,522.56
  5. Step 5: Solve for x
    x = 1,042,906,522.56/50,662.88
  6. Step 6: Final answer
    x = 20,585.22

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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.