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Finding the Fourth Proportional to 207,757.90, 311,782.65 and 133,059.70

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Solution

The fourth proportional to 207,757.90, 311,782.65 and 133,059.70 is: 199,682.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,757.90 : 311,782.65 = 133,059.70 : x
  2. Step 2: Convert to fraction form
    207,757.90/311,782.65 = 133,059.70/x
  3. Step 3: Cross multiply
    207,757.90x = 311,782.65 × 133,059.70
  4. Step 4: Simplify right side
    207,757.90x = 41,485,705,874.21
  5. Step 5: Solve for x
    x = 41,485,705,874.21/207,757.90
  6. Step 6: Final answer
    x = 199,682.93

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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.