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Finding the Fourth Proportional to 206,805.10, 289,920.80 and 206,805.10

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Solution

The fourth proportional to 206,805.10, 289,920.80 and 206,805.10 is: 289,920.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,805.10 : 289,920.80 = 206,805.10 : x
  2. Step 2: Convert to fraction form
    206,805.10/289,920.80 = 206,805.10/x
  3. Step 3: Cross multiply
    206,805.10x = 289,920.80 × 206,805.10
  4. Step 4: Simplify right side
    206,805.10x = 59,957,100,036.08
  5. Step 5: Solve for x
    x = 59,957,100,036.08/206,805.10
  6. Step 6: Final answer
    x = 289,920.80

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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.