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Finding the Fourth Proportional to 206,172.90, 309,216.15 and 101,067.30

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Solution

The fourth proportional to 206,172.90, 309,216.15 and 101,067.30 is: 151,579.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,172.90 : 309,216.15 = 101,067.30 : x
  2. Step 2: Convert to fraction form
    206,172.90/309,216.15 = 101,067.30/x
  3. Step 3: Cross multiply
    206,172.90x = 309,216.15 × 101,067.30
  4. Step 4: Simplify right side
    206,172.90x = 31,251,641,396.90
  5. Step 5: Solve for x
    x = 31,251,641,396.90/206,172.90
  6. Step 6: Final answer
    x = 151,579.77

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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.