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Finding the Fourth Proportional to 206,105.68, 309,202.76 and 63,948

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Solution

The fourth proportional to 206,105.68, 309,202.76 and 63,948 is: 95,935.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,105.68 : 309,202.76 = 63,948 : x
  2. Step 2: Convert to fraction form
    206,105.68/309,202.76 = 63,948/x
  3. Step 3: Cross multiply
    206,105.68x = 309,202.76 × 63,948
  4. Step 4: Simplify right side
    206,105.68x = 19,772,898,096.48
  5. Step 5: Solve for x
    x = 19,772,898,096.48/206,105.68
  6. Step 6: Final answer
    x = 95,935.73

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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.