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Finding the Fourth Proportional to 193,571.36, 290,398.08 and 68,912

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Solution

The fourth proportional to 193,571.36, 290,398.08 and 68,912 is: 103,382.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,571.36 : 290,398.08 = 68,912 : x
  2. Step 2: Convert to fraction form
    193,571.36/290,398.08 = 68,912/x
  3. Step 3: Cross multiply
    193,571.36x = 290,398.08 × 68,912
  4. Step 4: Simplify right side
    193,571.36x = 20,011,912,488.96
  5. Step 5: Solve for x
    x = 20,011,912,488.96/193,571.36
  6. Step 6: Final answer
    x = 103,382.61

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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.