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Finding the Fourth Proportional to 204,397, 306,636.50 and 71,241.50

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Solution

The fourth proportional to 204,397, 306,636.50 and 71,241.50 is: 106,876.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,397 : 306,636.50 = 71,241.50 : x
  2. Step 2: Convert to fraction form
    204,397/306,636.50 = 71,241.50/x
  3. Step 3: Cross multiply
    204,397x = 306,636.50 × 71,241.50
  4. Step 4: Simplify right side
    204,397x = 21,845,244,214.75
  5. Step 5: Solve for x
    x = 21,845,244,214.75/204,397
  6. Step 6: Final answer
    x = 106,876.54

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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.