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Finding the Fourth Proportional to 100,570.37, 138,787.97 and 55,249.34

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Solution

The fourth proportional to 100,570.37, 138,787.97 and 55,249.34 is: 76,244.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,570.37 : 138,787.97 = 55,249.34 : x
  2. Step 2: Convert to fraction form
    100,570.37/138,787.97 = 55,249.34/x
  3. Step 3: Cross multiply
    100,570.37x = 138,787.97 × 55,249.34
  4. Step 4: Simplify right side
    100,570.37x = 7,667,942,772.25
  5. Step 5: Solve for x
    x = 7,667,942,772.25/100,570.37
  6. Step 6: Final answer
    x = 76,244.56

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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.