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Finding the Fourth Proportional to 206,876.20, 310,241.40 and 73,760.80

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Solution

The fourth proportional to 206,876.20, 310,241.40 and 73,760.80 is: 110,615.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,876.20 : 310,241.40 = 73,760.80 : x
  2. Step 2: Convert to fraction form
    206,876.20/310,241.40 = 73,760.80/x
  3. Step 3: Cross multiply
    206,876.20x = 310,241.40 × 73,760.80
  4. Step 4: Simplify right side
    206,876.20x = 22,883,653,857.12
  5. Step 5: Solve for x
    x = 22,883,653,857.12/206,876.20
  6. Step 6: Final answer
    x = 110,615.21

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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.