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Finding the Fourth Proportional to 81,794.80, 122,692.20 and 29,197.45

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Solution

The fourth proportional to 81,794.80, 122,692.20 and 29,197.45 is: 43,796.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,794.80 : 122,692.20 = 29,197.45 : x
  2. Step 2: Convert to fraction form
    81,794.80/122,692.20 = 29,197.45/x
  3. Step 3: Cross multiply
    81,794.80x = 122,692.20 × 29,197.45
  4. Step 4: Simplify right side
    81,794.80x = 3,582,299,374.89
  5. Step 5: Solve for x
    x = 3,582,299,374.89/81,794.80
  6. Step 6: Final answer
    x = 43,796.18

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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.