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Finding the Fourth Proportional to 81,861.84, 122,792.76 and 29,286.36

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Solution

The fourth proportional to 81,861.84, 122,792.76 and 29,286.36 is: 43,929.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,861.84 : 122,792.76 = 29,286.36 : x
  2. Step 2: Convert to fraction form
    81,861.84/122,792.76 = 29,286.36/x
  3. Step 3: Cross multiply
    81,861.84x = 122,792.76 × 29,286.36
  4. Step 4: Simplify right side
    81,861.84x = 3,596,152,974.75
  5. Step 5: Solve for x
    x = 3,596,152,974.75/81,861.84
  6. Step 6: Final answer
    x = 43,929.54

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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.