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Finding the Fourth Proportional to 206,887.82, 310,323.30 and 71,982.77

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Solution

The fourth proportional to 206,887.82, 310,323.30 and 71,982.77 is: 107,971.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,887.82 : 310,323.30 = 71,982.77 : x
  2. Step 2: Convert to fraction form
    206,887.82/310,323.30 = 71,982.77/x
  3. Step 3: Cross multiply
    206,887.82x = 310,323.30 × 71,982.77
  4. Step 4: Simplify right side
    206,887.82x = 22,337,930,729.54
  5. Step 5: Solve for x
    x = 22,337,930,729.54/206,887.82
  6. Step 6: Final answer
    x = 107,971.22

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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.