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Finding the Fourth Proportional to 206,879.88, 310,319.26 and 55,076.96

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Solution

The fourth proportional to 206,879.88, 310,319.26 and 55,076.96 is: 82,615.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,879.88 : 310,319.26 = 55,076.96 : x
  2. Step 2: Convert to fraction form
    206,879.88/310,319.26 = 55,076.96/x
  3. Step 3: Cross multiply
    206,879.88x = 310,319.26 × 55,076.96
  4. Step 4: Simplify right side
    206,879.88x = 17,091,441,470.25
  5. Step 5: Solve for x
    x = 17,091,441,470.25/206,879.88
  6. Step 6: Final answer
    x = 82,615.29

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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.