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Finding the Fourth Proportional to 206,868.21, 310,352.31 and 71,912.79

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Solution

The fourth proportional to 206,868.21, 310,352.31 and 71,912.79 is: 107,886.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,868.21 : 310,352.31 = 71,912.79 : x
  2. Step 2: Convert to fraction form
    206,868.21/310,352.31 = 71,912.79/x
  3. Step 3: Cross multiply
    206,868.21x = 310,352.31 × 71,912.79
  4. Step 4: Simplify right side
    206,868.21x = 22,318,300,495.04
  5. Step 5: Solve for x
    x = 22,318,300,495.04/206,868.21
  6. Step 6: Final answer
    x = 107,886.56

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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.