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Finding the Fourth Proportional to 81,805.61, 122,704.81 and 25,644.43

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Solution

The fourth proportional to 81,805.61, 122,704.81 and 25,644.43 is: 38,465.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,805.61 : 122,704.81 = 25,644.43 : x
  2. Step 2: Convert to fraction form
    81,805.61/122,704.81 = 25,644.43/x
  3. Step 3: Cross multiply
    81,805.61x = 122,704.81 × 25,644.43
  4. Step 4: Simplify right side
    81,805.61x = 3,146,694,999.98
  5. Step 5: Solve for x
    x = 3,146,694,999.98/81,805.61
  6. Step 6: Final answer
    x = 38,465.51

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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.