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Finding the Fourth Proportional to 206,847, 310,288.37 and 57,087.31

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Solution

The fourth proportional to 206,847, 310,288.37 and 57,087.31 is: 85,635.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,847 : 310,288.37 = 57,087.31 : x
  2. Step 2: Convert to fraction form
    206,847/310,288.37 = 57,087.31/x
  3. Step 3: Cross multiply
    206,847x = 310,288.37 × 57,087.31
  4. Step 4: Simplify right side
    206,847x = 17,713,528,367.58
  5. Step 5: Solve for x
    x = 17,713,528,367.58/206,847
  6. Step 6: Final answer
    x = 85,635.90

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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.