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Finding the Fourth Proportional to 100,020.72, 150,072.44 and 43,831.60

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Solution

The fourth proportional to 100,020.72, 150,072.44 and 43,831.60 is: 65,765.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,020.72 : 150,072.44 = 43,831.60 : x
  2. Step 2: Convert to fraction form
    100,020.72/150,072.44 = 43,831.60/x
  3. Step 3: Cross multiply
    100,020.72x = 150,072.44 × 43,831.60
  4. Step 4: Simplify right side
    100,020.72x = 6,577,915,161.10
  5. Step 5: Solve for x
    x = 6,577,915,161.10/100,020.72
  6. Step 6: Final answer
    x = 65,765.52

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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.