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Finding the Fourth Proportional to 150,003.53, 206,996.41 and 82,007.88

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Solution

The fourth proportional to 150,003.53, 206,996.41 and 82,007.88 is: 113,166.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,003.53 : 206,996.41 = 82,007.88 : x
  2. Step 2: Convert to fraction form
    150,003.53/206,996.41 = 82,007.88/x
  3. Step 3: Cross multiply
    150,003.53x = 206,996.41 × 82,007.88
  4. Step 4: Simplify right side
    150,003.53x = 16,975,336,077.98
  5. Step 5: Solve for x
    x = 16,975,336,077.98/150,003.53
  6. Step 6: Final answer
    x = 113,166.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.