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Finding the Fourth Proportional to 204,685.38, 306,921.15 and 64,406.34

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Solution

The fourth proportional to 204,685.38, 306,921.15 and 64,406.34 is: 96,575.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,685.38 : 306,921.15 = 64,406.34 : x
  2. Step 2: Convert to fraction form
    204,685.38/306,921.15 = 64,406.34/x
  3. Step 3: Cross multiply
    204,685.38x = 306,921.15 × 64,406.34
  4. Step 4: Simplify right side
    204,685.38x = 19,767,667,940.09
  5. Step 5: Solve for x
    x = 19,767,667,940.09/204,685.38
  6. Step 6: Final answer
    x = 96,575.87

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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.