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Finding the Fourth Proportional to 100,608, 138,843.36 and 55,896

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Solution

The fourth proportional to 100,608, 138,843.36 and 55,896 is: 77,138.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,608 : 138,843.36 = 55,896 : x
  2. Step 2: Convert to fraction form
    100,608/138,843.36 = 55,896/x
  3. Step 3: Cross multiply
    100,608x = 138,843.36 × 55,896
  4. Step 4: Simplify right side
    100,608x = 7,760,788,450.56
  5. Step 5: Solve for x
    x = 7,760,788,450.56/100,608
  6. Step 6: Final answer
    x = 77,138.88

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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.