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Finding the Fourth Proportional to 100,408.87, 150,614.39 and 30,288.79

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Solution

The fourth proportional to 100,408.87, 150,614.39 and 30,288.79 is: 45,433.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,408.87 : 150,614.39 = 30,288.79 : x
  2. Step 2: Convert to fraction form
    100,408.87/150,614.39 = 30,288.79/x
  3. Step 3: Cross multiply
    100,408.87x = 150,614.39 × 30,288.79
  4. Step 4: Simplify right side
    100,408.87x = 4,561,927,629.69
  5. Step 5: Solve for x
    x = 4,561,927,629.69/100,408.87
  6. Step 6: Final answer
    x = 45,433.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.