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Finding the Fourth Proportional to 206,080.20, 287,890.20 and 206,080.20

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Solution

The fourth proportional to 206,080.20, 287,890.20 and 206,080.20 is: 287,890.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,080.20 : 287,890.20 = 206,080.20 : x
  2. Step 2: Convert to fraction form
    206,080.20/287,890.20 = 206,080.20/x
  3. Step 3: Cross multiply
    206,080.20x = 287,890.20 × 206,080.20
  4. Step 4: Simplify right side
    206,080.20x = 59,328,469,994.04
  5. Step 5: Solve for x
    x = 59,328,469,994.04/206,080.20
  6. Step 6: Final answer
    x = 287,890.20

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.