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Finding the Fourth Proportional to 193,694.48, 290,375.31 and 67,318.31

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Solution

The fourth proportional to 193,694.48, 290,375.31 and 67,318.31 is: 100,919.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,694.48 : 290,375.31 = 67,318.31 : x
  2. Step 2: Convert to fraction form
    193,694.48/290,375.31 = 67,318.31/x
  3. Step 3: Cross multiply
    193,694.48x = 290,375.31 × 67,318.31
  4. Step 4: Simplify right side
    193,694.48x = 19,547,573,683.05
  5. Step 5: Solve for x
    x = 19,547,573,683.05/193,694.48
  6. Step 6: Final answer
    x = 100,919.62

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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.