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Finding the Fourth Proportional to 206,809.70, 310,020.62 and 80,530.97

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Solution

The fourth proportional to 206,809.70, 310,020.62 and 80,530.97 is: 120,720.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,809.70 : 310,020.62 = 80,530.97 : x
  2. Step 2: Convert to fraction form
    206,809.70/310,020.62 = 80,530.97/x
  3. Step 3: Cross multiply
    206,809.70x = 310,020.62 × 80,530.97
  4. Step 4: Simplify right side
    206,809.70x = 24,966,259,295.84
  5. Step 5: Solve for x
    x = 24,966,259,295.84/206,809.70
  6. Step 6: Final answer
    x = 120,720.93

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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.