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Finding the Fourth Proportional to 206,145.20, 289,018 and 206,145.20

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Solution

The fourth proportional to 206,145.20, 289,018 and 206,145.20 is: 289,018

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,145.20 : 289,018 = 206,145.20 : x
  2. Step 2: Convert to fraction form
    206,145.20/289,018 = 206,145.20/x
  3. Step 3: Cross multiply
    206,145.20x = 289,018 × 206,145.20
  4. Step 4: Simplify right side
    206,145.20x = 59,579,673,413.60
  5. Step 5: Solve for x
    x = 59,579,673,413.60/206,145.20
  6. Step 6: Final answer
    x = 289,018

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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.