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Finding the Fourth Proportional to 204,476.59, 306,764.09 and 86,181.76

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Solution

The fourth proportional to 204,476.59, 306,764.09 and 86,181.76 is: 129,293.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,476.59 : 306,764.09 = 86,181.76 : x
  2. Step 2: Convert to fraction form
    204,476.59/306,764.09 = 86,181.76/x
  3. Step 3: Cross multiply
    204,476.59x = 306,764.09 × 86,181.76
  4. Step 4: Simplify right side
    204,476.59x = 26,437,469,181.00
  5. Step 5: Solve for x
    x = 26,437,469,181.00/204,476.59
  6. Step 6: Final answer
    x = 129,293.38

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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.