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Finding the Fourth Proportional to 81,722.81, 122,584.41 and 25,563.29

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Solution

The fourth proportional to 81,722.81, 122,584.41 and 25,563.29 is: 38,344.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,722.81 : 122,584.41 = 25,563.29 : x
  2. Step 2: Convert to fraction form
    81,722.81/122,584.41 = 25,563.29/x
  3. Step 3: Cross multiply
    81,722.81x = 122,584.41 × 25,563.29
  4. Step 4: Simplify right side
    81,722.81x = 3,133,660,209.39
  5. Step 5: Solve for x
    x = 3,133,660,209.39/81,722.81
  6. Step 6: Final answer
    x = 38,344.99

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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.