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Finding the Fourth Proportional to 81,842.50, 122,763.41 and 22,678

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Solution

The fourth proportional to 81,842.50, 122,763.41 and 22,678 is: 34,016.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,842.50 : 122,763.41 = 22,678 : x
  2. Step 2: Convert to fraction form
    81,842.50/122,763.41 = 22,678/x
  3. Step 3: Cross multiply
    81,842.50x = 122,763.41 × 22,678
  4. Step 4: Simplify right side
    81,842.50x = 2,784,028,611.98
  5. Step 5: Solve for x
    x = 2,784,028,611.98/81,842.50
  6. Step 6: Final answer
    x = 34,016.91

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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.