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Finding the Fourth Proportional to 203,463.77, 305,233.93 and 81,893.60

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Solution

The fourth proportional to 203,463.77, 305,233.93 and 81,893.60 is: 122,855.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,463.77 : 305,233.93 = 81,893.60 : x
  2. Step 2: Convert to fraction form
    203,463.77/305,233.93 = 81,893.60/x
  3. Step 3: Cross multiply
    203,463.77x = 305,233.93 × 81,893.60
  4. Step 4: Simplify right side
    203,463.77x = 24,996,705,928.20
  5. Step 5: Solve for x
    x = 24,996,705,928.20/203,463.77
  6. Step 6: Final answer
    x = 122,855.81

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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.