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Finding the Fourth Proportional to 100,614.66, 150,943.77 and 30,499.26

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Solution

The fourth proportional to 100,614.66, 150,943.77 and 30,499.26 is: 45,755.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,614.66 : 150,943.77 = 30,499.26 : x
  2. Step 2: Convert to fraction form
    100,614.66/150,943.77 = 30,499.26/x
  3. Step 3: Cross multiply
    100,614.66x = 150,943.77 × 30,499.26
  4. Step 4: Simplify right side
    100,614.66x = 4,603,673,286.61
  5. Step 5: Solve for x
    x = 4,603,673,286.61/100,614.66
  6. Step 6: Final answer
    x = 45,755.49

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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.