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Finding the Fourth Proportional to 81,855.88, 122,786.40 and 22,692.04

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Solution

The fourth proportional to 81,855.88, 122,786.40 and 22,692.04 is: 34,038.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,855.88 : 122,786.40 = 22,692.04 : x
  2. Step 2: Convert to fraction form
    81,855.88/122,786.40 = 22,692.04/x
  3. Step 3: Cross multiply
    81,855.88x = 122,786.40 × 22,692.04
  4. Step 4: Simplify right side
    81,855.88x = 2,786,273,900.26
  5. Step 5: Solve for x
    x = 2,786,273,900.26/81,855.88
  6. Step 6: Final answer
    x = 34,038.78

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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.