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Finding the Fourth Proportional to 193,873.91, 290,903.81 and 100,379.66

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Solution

The fourth proportional to 193,873.91, 290,903.81 and 100,379.66 is: 150,617.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,873.91 : 290,903.81 = 100,379.66 : x
  2. Step 2: Convert to fraction form
    193,873.91/290,903.81 = 100,379.66/x
  3. Step 3: Cross multiply
    193,873.91x = 290,903.81 × 100,379.66
  4. Step 4: Simplify right side
    193,873.91x = 29,200,823,584.09
  5. Step 5: Solve for x
    x = 29,200,823,584.09/193,873.91
  6. Step 6: Final answer
    x = 150,617.61

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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.