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Finding the Fourth Proportional to 100,172.43, 138,231.84 and 54,850.95

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Solution

The fourth proportional to 100,172.43, 138,231.84 and 54,850.95 is: 75,690.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,172.43 : 138,231.84 = 54,850.95 : x
  2. Step 2: Convert to fraction form
    100,172.43/138,231.84 = 54,850.95/x
  3. Step 3: Cross multiply
    100,172.43x = 138,231.84 × 54,850.95
  4. Step 4: Simplify right side
    100,172.43x = 7,582,147,949.94
  5. Step 5: Solve for x
    x = 7,582,147,949.94/100,172.43
  6. Step 6: Final answer
    x = 75,690.97

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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.