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Finding the Fourth Proportional to 204,759.30, 307,029.60 and 71,643.90

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Solution

The fourth proportional to 204,759.30, 307,029.60 and 71,643.90 is: 107,427.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,759.30 : 307,029.60 = 71,643.90 : x
  2. Step 2: Convert to fraction form
    204,759.30/307,029.60 = 71,643.90/x
  3. Step 3: Cross multiply
    204,759.30x = 307,029.60 × 71,643.90
  4. Step 4: Simplify right side
    204,759.30x = 21,996,797,959.44
  5. Step 5: Solve for x
    x = 21,996,797,959.44/204,759.30
  6. Step 6: Final answer
    x = 107,427.59

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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.