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Finding the Fourth Proportional to 203,709.70, 305,864.50 and 113,928.31

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Solution

The fourth proportional to 203,709.70, 305,864.50 and 113,928.31 is: 171,060.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,709.70 : 305,864.50 = 113,928.31 : x
  2. Step 2: Convert to fraction form
    203,709.70/305,864.50 = 113,928.31/x
  3. Step 3: Cross multiply
    203,709.70x = 305,864.50 × 113,928.31
  4. Step 4: Simplify right side
    203,709.70x = 34,846,626,922.07
  5. Step 5: Solve for x
    x = 34,846,626,922.07/203,709.70
  6. Step 6: Final answer
    x = 171,060.23

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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.