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Finding the Fourth Proportional to 203,816.40, 305,843.67 and 85,477.83

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Solution

The fourth proportional to 203,816.40, 305,843.67 and 85,477.83 is: 128,266.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,816.40 : 305,843.67 = 85,477.83 : x
  2. Step 2: Convert to fraction form
    203,816.40/305,843.67 = 85,477.83/x
  3. Step 3: Cross multiply
    203,816.40x = 305,843.67 × 85,477.83
  4. Step 4: Simplify right side
    203,816.40x = 26,142,853,230.84
  5. Step 5: Solve for x
    x = 26,142,853,230.84/203,816.40
  6. Step 6: Final answer
    x = 128,266.68

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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.