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Finding the Fourth Proportional to 81,807.48, 122,713.97 and 22,638.20

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Solution

The fourth proportional to 81,807.48, 122,713.97 and 22,638.20 is: 33,958.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,807.48 : 122,713.97 = 22,638.20 : x
  2. Step 2: Convert to fraction form
    81,807.48/122,713.97 = 22,638.20/x
  3. Step 3: Cross multiply
    81,807.48x = 122,713.97 × 22,638.20
  4. Step 4: Simplify right side
    81,807.48x = 2,778,022,668.89
  5. Step 5: Solve for x
    x = 2,778,022,668.89/81,807.48
  6. Step 6: Final answer
    x = 33,958.05

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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.