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Finding the Fourth Proportional to 100,578.24, 138,797.39 and 55,255.24

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Solution

The fourth proportional to 100,578.24, 138,797.39 and 55,255.24 is: 76,251.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,578.24 : 138,797.39 = 55,255.24 : x
  2. Step 2: Convert to fraction form
    100,578.24/138,797.39 = 55,255.24/x
  3. Step 3: Cross multiply
    100,578.24x = 138,797.39 × 55,255.24
  4. Step 4: Simplify right side
    100,578.24x = 7,669,283,095.82
  5. Step 5: Solve for x
    x = 7,669,283,095.82/100,578.24
  6. Step 6: Final answer
    x = 76,251.91

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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.