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Finding the Fourth Proportional to 77,278, 115,917 and 21,874

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Solution

The fourth proportional to 77,278, 115,917 and 21,874 is: 32,811

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,278 : 115,917 = 21,874 : x
  2. Step 2: Convert to fraction form
    77,278/115,917 = 21,874/x
  3. Step 3: Cross multiply
    77,278x = 115,917 × 21,874
  4. Step 4: Simplify right side
    77,278x = 2,535,568,458
  5. Step 5: Solve for x
    x = 2,535,568,458/77,278
  6. Step 6: Final answer
    x = 32,811

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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.