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Finding the Fourth Proportional to 81,876.96, 122,850 and 34,503.84

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Solution

The fourth proportional to 81,876.96, 122,850 and 34,503.84 is: 51,770.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,876.96 : 122,850 = 34,503.84 : x
  2. Step 2: Convert to fraction form
    81,876.96/122,850 = 34,503.84/x
  3. Step 3: Cross multiply
    81,876.96x = 122,850 × 34,503.84
  4. Step 4: Simplify right side
    81,876.96x = 4,238,796,744.00
  5. Step 5: Solve for x
    x = 4,238,796,744.00/81,876.96
  6. Step 6: Final answer
    x = 51,770.32

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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.