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Finding the Fourth Proportional to 81,822.83, 122,720.33 and 22,644.64

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Solution

The fourth proportional to 81,822.83, 122,720.33 and 22,644.64 is: 33,963.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,822.83 : 122,720.33 = 22,644.64 : x
  2. Step 2: Convert to fraction form
    81,822.83/122,720.33 = 22,644.64/x
  3. Step 3: Cross multiply
    81,822.83x = 122,720.33 × 22,644.64
  4. Step 4: Simplify right side
    81,822.83x = 2,778,957,693.53
  5. Step 5: Solve for x
    x = 2,778,957,693.53/81,822.83
  6. Step 6: Final answer
    x = 33,963.11

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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.