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Finding the Fourth Proportional to 204,584.28, 306,869.40 and 99,375

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Solution

The fourth proportional to 204,584.28, 306,869.40 and 99,375 is: 149,059.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,584.28 : 306,869.40 = 99,375 : x
  2. Step 2: Convert to fraction form
    204,584.28/306,869.40 = 99,375/x
  3. Step 3: Cross multiply
    204,584.28x = 306,869.40 × 99,375
  4. Step 4: Simplify right side
    204,584.28x = 30,495,146,625.00
  5. Step 5: Solve for x
    x = 30,495,146,625.00/204,584.28
  6. Step 6: Final answer
    x = 149,059.09

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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.