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Finding the Fourth Proportional to 36,839.36, 50,838 and 20,072

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Solution

The fourth proportional to 36,839.36, 50,838 and 20,072 is: 27,699.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,839.36 : 50,838 = 20,072 : x
  2. Step 2: Convert to fraction form
    36,839.36/50,838 = 20,072/x
  3. Step 3: Cross multiply
    36,839.36x = 50,838 × 20,072
  4. Step 4: Simplify right side
    36,839.36x = 1,020,420,336
  5. Step 5: Solve for x
    x = 1,020,420,336/36,839.36
  6. Step 6: Final answer
    x = 27,699.19

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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.