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Finding the Fourth Proportional to 206,711.70, 309,772.35 and 117,777.30

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Solution

The fourth proportional to 206,711.70, 309,772.35 and 117,777.30 is: 176,497.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,711.70 : 309,772.35 = 117,777.30 : x
  2. Step 2: Convert to fraction form
    206,711.70/309,772.35 = 117,777.30/x
  3. Step 3: Cross multiply
    206,711.70x = 309,772.35 × 117,777.30
  4. Step 4: Simplify right side
    206,711.70x = 36,484,150,997.66
  5. Step 5: Solve for x
    x = 36,484,150,997.66/206,711.70
  6. Step 6: Final answer
    x = 176,497.76

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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.