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Finding the Fourth Proportional to 81,897.73, 122,876.64 and 34,524.75

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Solution

The fourth proportional to 81,897.73, 122,876.64 and 34,524.75 is: 51,799.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,897.73 : 122,876.64 = 34,524.75 : x
  2. Step 2: Convert to fraction form
    81,897.73/122,876.64 = 34,524.75/x
  3. Step 3: Cross multiply
    81,897.73x = 122,876.64 × 34,524.75
  4. Step 4: Simplify right side
    81,897.73x = 4,242,285,276.84
  5. Step 5: Solve for x
    x = 4,242,285,276.84/81,897.73
  6. Step 6: Final answer
    x = 51,799.79

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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.