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Finding the Fourth Proportional to 100,694.30, 138,961.70 and 55,375.73

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Solution

The fourth proportional to 100,694.30, 138,961.70 and 55,375.73 is: 76,420.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,694.30 : 138,961.70 = 55,375.73 : x
  2. Step 2: Convert to fraction form
    100,694.30/138,961.70 = 55,375.73/x
  3. Step 3: Cross multiply
    100,694.30x = 138,961.70 × 55,375.73
  4. Step 4: Simplify right side
    100,694.30x = 7,695,104,920.32
  5. Step 5: Solve for x
    x = 7,695,104,920.32/100,694.30
  6. Step 6: Final answer
    x = 76,420.47

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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.