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Finding the Fourth Proportional to 206,698.31, 310,091.73 and 71,766.60

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Solution

The fourth proportional to 206,698.31, 310,091.73 and 71,766.60 is: 107,665.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,698.31 : 310,091.73 = 71,766.60 : x
  2. Step 2: Convert to fraction form
    206,698.31/310,091.73 = 71,766.60/x
  3. Step 3: Cross multiply
    206,698.31x = 310,091.73 × 71,766.60
  4. Step 4: Simplify right side
    206,698.31x = 22,254,229,150.22
  5. Step 5: Solve for x
    x = 22,254,229,150.22/206,698.31
  6. Step 6: Final answer
    x = 107,665.27

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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.