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Finding the Fourth Proportional to 203,932.54, 305,942.51 and 85,535.65

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Solution

The fourth proportional to 203,932.54, 305,942.51 and 85,535.65 is: 128,321.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,932.54 : 305,942.51 = 85,535.65 : x
  2. Step 2: Convert to fraction form
    203,932.54/305,942.51 = 85,535.65/x
  3. Step 3: Cross multiply
    203,932.54x = 305,942.51 × 85,535.65
  4. Step 4: Simplify right side
    203,932.54x = 26,168,991,455.48
  5. Step 5: Solve for x
    x = 26,168,991,455.48/203,932.54
  6. Step 6: Final answer
    x = 128,321.80

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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.