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Finding the Fourth Proportional to 100,570, 138,786.28 and 55,247.88

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Solution

The fourth proportional to 100,570, 138,786.28 and 55,247.88 is: 76,241.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,570 : 138,786.28 = 55,247.88 : x
  2. Step 2: Convert to fraction form
    100,570/138,786.28 = 55,247.88/x
  3. Step 3: Cross multiply
    100,570x = 138,786.28 × 55,247.88
  4. Step 4: Simplify right side
    100,570x = 7,667,647,743.09
  5. Step 5: Solve for x
    x = 7,667,647,743.09/100,570
  6. Step 6: Final answer
    x = 76,241.90

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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.