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Finding the Fourth Proportional to 203,992.56, 305,979.50 and 70,883.24

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Solution

The fourth proportional to 203,992.56, 305,979.50 and 70,883.24 is: 106,321.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,992.56 : 305,979.50 = 70,883.24 : x
  2. Step 2: Convert to fraction form
    203,992.56/305,979.50 = 70,883.24/x
  3. Step 3: Cross multiply
    203,992.56x = 305,979.50 × 70,883.24
  4. Step 4: Simplify right side
    203,992.56x = 21,688,816,449.27
  5. Step 5: Solve for x
    x = 21,688,816,449.27/203,992.56
  6. Step 6: Final answer
    x = 106,321.61

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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.