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Finding the Fourth Proportional to 100,650.38, 150,976.47 and 30,529.69

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Solution

The fourth proportional to 100,650.38, 150,976.47 and 30,529.69 is: 45,794.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,650.38 : 150,976.47 = 30,529.69 : x
  2. Step 2: Convert to fraction form
    100,650.38/150,976.47 = 30,529.69/x
  3. Step 3: Cross multiply
    100,650.38x = 150,976.47 × 30,529.69
  4. Step 4: Simplify right side
    100,650.38x = 4,609,264,563.44
  5. Step 5: Solve for x
    x = 4,609,264,563.44/100,650.38
  6. Step 6: Final answer
    x = 45,794.81

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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.