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Finding the Fourth Proportional to 204,679.98, 306,871.74 and 86,286.33

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Solution

The fourth proportional to 204,679.98, 306,871.74 and 86,286.33 is: 129,367.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,679.98 : 306,871.74 = 86,286.33 : x
  2. Step 2: Convert to fraction form
    204,679.98/306,871.74 = 86,286.33/x
  3. Step 3: Cross multiply
    204,679.98x = 306,871.74 × 86,286.33
  4. Step 4: Simplify right side
    204,679.98x = 26,478,836,225.31
  5. Step 5: Solve for x
    x = 26,478,836,225.31/204,679.98
  6. Step 6: Final answer
    x = 129,367.01

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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.