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Finding the Fourth Proportional to 81,906.63, 122,853.95 and 31,977.27

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Solution

The fourth proportional to 81,906.63, 122,853.95 and 31,977.27 is: 47,963.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,906.63 : 122,853.95 = 31,977.27 : x
  2. Step 2: Convert to fraction form
    81,906.63/122,853.95 = 31,977.27/x
  3. Step 3: Cross multiply
    81,906.63x = 122,853.95 × 31,977.27
  4. Step 4: Simplify right side
    81,906.63x = 3,928,533,769.83
  5. Step 5: Solve for x
    x = 3,928,533,769.83/81,906.63
  6. Step 6: Final answer
    x = 47,963.56

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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.