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Finding the Fourth Proportional to 100,614.78, 150,936.66 and 30,499.56

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Solution

The fourth proportional to 100,614.78, 150,936.66 and 30,499.56 is: 45,753.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,614.78 : 150,936.66 = 30,499.56 : x
  2. Step 2: Convert to fraction form
    100,614.78/150,936.66 = 30,499.56/x
  3. Step 3: Cross multiply
    100,614.78x = 150,936.66 × 30,499.56
  4. Step 4: Simplify right side
    100,614.78x = 4,603,501,717.87
  5. Step 5: Solve for x
    x = 4,603,501,717.87/100,614.78
  6. Step 6: Final answer
    x = 45,753.73

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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.