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Finding the Fourth Proportional to 193,489.49, 290,121.47 and 75,022.44

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Solution

The fourth proportional to 193,489.49, 290,121.47 and 75,022.44 is: 112,489.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,489.49 : 290,121.47 = 75,022.44 : x
  2. Step 2: Convert to fraction form
    193,489.49/290,121.47 = 75,022.44/x
  3. Step 3: Cross multiply
    193,489.49x = 290,121.47 × 75,022.44
  4. Step 4: Simplify right side
    193,489.49x = 21,765,620,200.67
  5. Step 5: Solve for x
    x = 21,765,620,200.67/193,489.49
  6. Step 6: Final answer
    x = 112,489.94

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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.