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Finding the Fourth Proportional to 207,952.43, 311,928.60 and 81,652.19

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Solution

The fourth proportional to 207,952.43, 311,928.60 and 81,652.19 is: 122,478.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,952.43 : 311,928.60 = 81,652.19 : x
  2. Step 2: Convert to fraction form
    207,952.43/311,928.60 = 81,652.19/x
  3. Step 3: Cross multiply
    207,952.43x = 311,928.60 × 81,652.19
  4. Step 4: Simplify right side
    207,952.43x = 25,469,653,313.63
  5. Step 5: Solve for x
    x = 25,469,653,313.63/207,952.43
  6. Step 6: Final answer
    x = 122,478.27

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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.