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Finding the Fourth Proportional to 81,792.60, 122,694.03 and 31,856.10

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Solution

The fourth proportional to 81,792.60, 122,694.03 and 31,856.10 is: 47,786.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,792.60 : 122,694.03 = 31,856.10 : x
  2. Step 2: Convert to fraction form
    81,792.60/122,694.03 = 31,856.10/x
  3. Step 3: Cross multiply
    81,792.60x = 122,694.03 × 31,856.10
  4. Step 4: Simplify right side
    81,792.60x = 3,908,553,289.08
  5. Step 5: Solve for x
    x = 3,908,553,289.08/81,792.60
  6. Step 6: Final answer
    x = 47,786.15

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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.