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Finding the Fourth Proportional to 36,678, 50,616.25 and 19,911

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Solution

The fourth proportional to 36,678, 50,616.25 and 19,911 is: 27,477.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,678 : 50,616.25 = 19,911 : x
  2. Step 2: Convert to fraction form
    36,678/50,616.25 = 19,911/x
  3. Step 3: Cross multiply
    36,678x = 50,616.25 × 19,911
  4. Step 4: Simplify right side
    36,678x = 1,007,820,153.75
  5. Step 5: Solve for x
    x = 1,007,820,153.75/36,678
  6. Step 6: Final answer
    x = 27,477.51

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Why These Related Problems?

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