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Finding the Fourth Proportional to 206,167.97, 309,061.65 and 143,017.88

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Solution

The fourth proportional to 206,167.97, 309,061.65 and 143,017.88 is: 214,394.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,167.97 : 309,061.65 = 143,017.88 : x
  2. Step 2: Convert to fraction form
    206,167.97/309,061.65 = 143,017.88/x
  3. Step 3: Cross multiply
    206,167.97x = 309,061.65 × 143,017.88
  4. Step 4: Simplify right side
    206,167.97x = 44,201,340,426.99
  5. Step 5: Solve for x
    x = 44,201,340,426.99/206,167.97
  6. Step 6: Final answer
    x = 214,394.80

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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.