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Finding the Fourth Proportional to 204,283.10, 306,213.31 and 77,889.34

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Solution

The fourth proportional to 204,283.10, 306,213.31 and 77,889.34 is: 116,753.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,283.10 : 306,213.31 = 77,889.34 : x
  2. Step 2: Convert to fraction form
    204,283.10/306,213.31 = 77,889.34/x
  3. Step 3: Cross multiply
    204,283.10x = 306,213.31 × 77,889.34
  4. Step 4: Simplify right side
    204,283.10x = 23,850,752,615.12
  5. Step 5: Solve for x
    x = 23,850,752,615.12/204,283.10
  6. Step 6: Final answer
    x = 116,753.43

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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.