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Finding the Fourth Proportional to 81,814.62, 122,708.25 and 22,656.27

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Solution

The fourth proportional to 81,814.62, 122,708.25 and 22,656.27 is: 33,980.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,814.62 : 122,708.25 = 22,656.27 : x
  2. Step 2: Convert to fraction form
    81,814.62/122,708.25 = 22,656.27/x
  3. Step 3: Cross multiply
    81,814.62x = 122,708.25 × 22,656.27
  4. Step 4: Simplify right side
    81,814.62x = 2,780,111,243.23
  5. Step 5: Solve for x
    x = 2,780,111,243.23/81,814.62
  6. Step 6: Final answer
    x = 33,980.62

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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.