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Finding the Fourth Proportional to 100,614.91, 150,944.15 and 30,499.51

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Solution

The fourth proportional to 100,614.91, 150,944.15 and 30,499.51 is: 45,755.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,614.91 : 150,944.15 = 30,499.51 : x
  2. Step 2: Convert to fraction form
    100,614.91/150,944.15 = 30,499.51/x
  3. Step 3: Cross multiply
    100,614.91x = 150,944.15 × 30,499.51
  4. Step 4: Simplify right side
    100,614.91x = 4,603,722,612.37
  5. Step 5: Solve for x
    x = 4,603,722,612.37/100,614.91
  6. Step 6: Final answer
    x = 45,755.87

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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.