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Finding the Fourth Proportional to 100,084, 138,120.24 and 55,372

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Solution

The fourth proportional to 100,084, 138,120.24 and 55,372 is: 76,415.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,084 : 138,120.24 = 55,372 : x
  2. Step 2: Convert to fraction form
    100,084/138,120.24 = 55,372/x
  3. Step 3: Cross multiply
    100,084x = 138,120.24 × 55,372
  4. Step 4: Simplify right side
    100,084x = 7,647,993,929.28
  5. Step 5: Solve for x
    x = 7,647,993,929.28/100,084
  6. Step 6: Final answer
    x = 76,415.75

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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.