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Finding the Fourth Proportional to 100,099.40, 150,078.22 and 50,143.86

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Solution

The fourth proportional to 100,099.40, 150,078.22 and 50,143.86 is: 75,180.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,099.40 : 150,078.22 = 50,143.86 : x
  2. Step 2: Convert to fraction form
    100,099.40/150,078.22 = 50,143.86/x
  3. Step 3: Cross multiply
    100,099.40x = 150,078.22 × 50,143.86
  4. Step 4: Simplify right side
    100,099.40x = 7,525,501,127.37
  5. Step 5: Solve for x
    x = 7,525,501,127.37/100,099.40
  6. Step 6: Final answer
    x = 75,180.29

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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.