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Finding the Fourth Proportional to 81,820.83, 122,717.33 and 22,642.64

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Solution

The fourth proportional to 81,820.83, 122,717.33 and 22,642.64 is: 33,960.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,820.83 : 122,717.33 = 22,642.64 : x
  2. Step 2: Convert to fraction form
    81,820.83/122,717.33 = 22,642.64/x
  3. Step 3: Cross multiply
    81,820.83x = 122,717.33 × 22,642.64
  4. Step 4: Simplify right side
    81,820.83x = 2,778,644,143.25
  5. Step 5: Solve for x
    x = 2,778,644,143.25/81,820.83
  6. Step 6: Final answer
    x = 33,960.11

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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.