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Finding the Fourth Proportional to 81,812.48, 122,694.96 and 31,881.44

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Solution

The fourth proportional to 81,812.48, 122,694.96 and 31,881.44 is: 47,812.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,812.48 : 122,694.96 = 31,881.44 : x
  2. Step 2: Convert to fraction form
    81,812.48/122,694.96 = 31,881.44/x
  3. Step 3: Cross multiply
    81,812.48x = 122,694.96 × 31,881.44
  4. Step 4: Simplify right side
    81,812.48x = 3,911,692,005.54
  5. Step 5: Solve for x
    x = 3,911,692,005.54/81,812.48
  6. Step 6: Final answer
    x = 47,812.90

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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.