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Finding the Fourth Proportional to 203,467.78, 305,239.94 and 81,897.60

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Solution

The fourth proportional to 203,467.78, 305,239.94 and 81,897.60 is: 122,861.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,467.78 : 305,239.94 = 81,897.60 : x
  2. Step 2: Convert to fraction form
    203,467.78/305,239.94 = 81,897.60/x
  3. Step 3: Cross multiply
    203,467.78x = 305,239.94 × 81,897.60
  4. Step 4: Simplify right side
    203,467.78x = 24,998,418,510.14
  5. Step 5: Solve for x
    x = 24,998,418,510.14/203,467.78
  6. Step 6: Final answer
    x = 122,861.80

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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.