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Finding the Fourth Proportional to 207,391.87, 311,208.56 and 87,441.30

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Solution

The fourth proportional to 207,391.87, 311,208.56 and 87,441.30 is: 131,212.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,391.87 : 311,208.56 = 87,441.30 : x
  2. Step 2: Convert to fraction form
    207,391.87/311,208.56 = 87,441.30/x
  3. Step 3: Cross multiply
    207,391.87x = 311,208.56 × 87,441.30
  4. Step 4: Simplify right side
    207,391.87x = 27,212,481,276.13
  5. Step 5: Solve for x
    x = 27,212,481,276.13/207,391.87
  6. Step 6: Final answer
    x = 131,212.87

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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.