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Finding the Fourth Proportional to 254,178, 381,267 and 87,966

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Solution

The fourth proportional to 254,178, 381,267 and 87,966 is: 131,949

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,178 : 381,267 = 87,966 : x
  2. Step 2: Convert to fraction form
    254,178/381,267 = 87,966/x
  3. Step 3: Cross multiply
    254,178x = 381,267 × 87,966
  4. Step 4: Simplify right side
    254,178x = 33,538,532,922
  5. Step 5: Solve for x
    x = 33,538,532,922/254,178
  6. Step 6: Final answer
    x = 131,949

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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.