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Finding the Fourth Proportional to 206,890.40, 310,489.20 and 82,320.80

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Solution

The fourth proportional to 206,890.40, 310,489.20 and 82,320.80 is: 123,542.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,890.40 : 310,489.20 = 82,320.80 : x
  2. Step 2: Convert to fraction form
    206,890.40/310,489.20 = 82,320.80/x
  3. Step 3: Cross multiply
    206,890.40x = 310,489.20 × 82,320.80
  4. Step 4: Simplify right side
    206,890.40x = 25,559,719,335.36
  5. Step 5: Solve for x
    x = 25,559,719,335.36/206,890.40
  6. Step 6: Final answer
    x = 123,542.32

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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.