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Finding the Fourth Proportional to 206,912.78, 310,201.65 and 64,684.81

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Solution

The fourth proportional to 206,912.78, 310,201.65 and 64,684.81 is: 96,974.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,912.78 : 310,201.65 = 64,684.81 : x
  2. Step 2: Convert to fraction form
    206,912.78/310,201.65 = 64,684.81/x
  3. Step 3: Cross multiply
    206,912.78x = 310,201.65 × 64,684.81
  4. Step 4: Simplify right side
    206,912.78x = 20,065,335,179.69
  5. Step 5: Solve for x
    x = 20,065,335,179.69/206,912.78
  6. Step 6: Final answer
    x = 96,974.85

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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.