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Finding the Fourth Proportional to 81,838.92, 122,758.54 and 22,674.75

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Solution

The fourth proportional to 81,838.92, 122,758.54 and 22,674.75 is: 34,012.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,838.92 : 122,758.54 = 22,674.75 : x
  2. Step 2: Convert to fraction form
    81,838.92/122,758.54 = 22,674.75/x
  3. Step 3: Cross multiply
    81,838.92x = 122,758.54 × 22,674.75
  4. Step 4: Simplify right side
    81,838.92x = 2,783,519,261.55
  5. Step 5: Solve for x
    x = 2,783,519,261.55/81,838.92
  6. Step 6: Final answer
    x = 34,012.17

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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.