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Finding the Fourth Proportional to 143,229.96, 214,438.97 and 119,019.87

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Solution

The fourth proportional to 143,229.96, 214,438.97 and 119,019.87 is: 178,192.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,229.96 : 214,438.97 = 119,019.87 : x
  2. Step 2: Convert to fraction form
    143,229.96/214,438.97 = 119,019.87/x
  3. Step 3: Cross multiply
    143,229.96x = 214,438.97 × 119,019.87
  4. Step 4: Simplify right side
    143,229.96x = 25,522,498,273.33
  5. Step 5: Solve for x
    x = 25,522,498,273.33/143,229.96
  6. Step 6: Final answer
    x = 178,192.45

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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.