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Finding the Fourth Proportional to 81,722.94, 122,584.41 and 25,561.86

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Solution

The fourth proportional to 81,722.94, 122,584.41 and 25,561.86 is: 38,342.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,722.94 : 122,584.41 = 25,561.86 : x
  2. Step 2: Convert to fraction form
    81,722.94/122,584.41 = 25,561.86/x
  3. Step 3: Cross multiply
    81,722.94x = 122,584.41 × 25,561.86
  4. Step 4: Simplify right side
    81,722.94x = 3,133,485,526.60
  5. Step 5: Solve for x
    x = 3,133,485,526.60/81,722.94
  6. Step 6: Final answer
    x = 38,342.79

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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.