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Finding the Fourth Proportional to 206,498.27, 309,710.45 and 131,395.32

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Solution

The fourth proportional to 206,498.27, 309,710.45 and 131,395.32 is: 197,069.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,498.27 : 309,710.45 = 131,395.32 : x
  2. Step 2: Convert to fraction form
    206,498.27/309,710.45 = 131,395.32/x
  3. Step 3: Cross multiply
    206,498.27x = 309,710.45 × 131,395.32
  4. Step 4: Simplify right side
    206,498.27x = 40,694,503,028.12
  5. Step 5: Solve for x
    x = 40,694,503,028.12/206,498.27
  6. Step 6: Final answer
    x = 197,069.47

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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.