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Finding the Fourth Proportional to 81,769.50, 122,692.96 and 34,394.96

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Solution

The fourth proportional to 81,769.50, 122,692.96 and 34,394.96 is: 51,608.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,769.50 : 122,692.96 = 34,394.96 : x
  2. Step 2: Convert to fraction form
    81,769.50/122,692.96 = 34,394.96/x
  3. Step 3: Cross multiply
    81,769.50x = 122,692.96 × 34,394.96
  4. Step 4: Simplify right side
    81,769.50x = 4,220,019,451.48
  5. Step 5: Solve for x
    x = 4,220,019,451.48/81,769.50
  6. Step 6: Final answer
    x = 51,608.72

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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.