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Finding the Fourth Proportional to 81,874.06, 122,811.08 and 22,709.74

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Solution

The fourth proportional to 81,874.06, 122,811.08 and 22,709.74 is: 34,064.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,874.06 : 122,811.08 = 22,709.74 : x
  2. Step 2: Convert to fraction form
    81,874.06/122,811.08 = 22,709.74/x
  3. Step 3: Cross multiply
    81,874.06x = 122,811.08 × 22,709.74
  4. Step 4: Simplify right side
    81,874.06x = 2,789,007,695.92
  5. Step 5: Solve for x
    x = 2,789,007,695.92/81,874.06
  6. Step 6: Final answer
    x = 34,064.61

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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.