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Finding the Fourth Proportional to 100,266, 138,367.25 and 54,936.78

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Solution

The fourth proportional to 100,266, 138,367.25 and 54,936.78 is: 75,812.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,266 : 138,367.25 = 54,936.78 : x
  2. Step 2: Convert to fraction form
    100,266/138,367.25 = 54,936.78/x
  3. Step 3: Cross multiply
    100,266x = 138,367.25 × 54,936.78
  4. Step 4: Simplify right side
    100,266x = 7,601,451,172.46
  5. Step 5: Solve for x
    x = 7,601,451,172.46/100,266
  6. Step 6: Final answer
    x = 75,812.85

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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.