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Finding the Fourth Proportional to 206,508.71, 309,989.34 and 164,086.83

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Solution

The fourth proportional to 206,508.71, 309,989.34 and 164,086.83 is: 246,310.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,508.71 : 309,989.34 = 164,086.83 : x
  2. Step 2: Convert to fraction form
    206,508.71/309,989.34 = 164,086.83/x
  3. Step 3: Cross multiply
    206,508.71x = 309,989.34 × 164,086.83
  4. Step 4: Simplify right side
    206,508.71x = 50,865,168,134.39
  5. Step 5: Solve for x
    x = 50,865,168,134.39/206,508.71
  6. Step 6: Final answer
    x = 246,310.03

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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.