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Finding the Fourth Proportional to 81,557, 122,353.10 and 25,395.96

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Solution

The fourth proportional to 81,557, 122,353.10 and 25,395.96 is: 38,099.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,557 : 122,353.10 = 25,395.96 : x
  2. Step 2: Convert to fraction form
    81,557/122,353.10 = 25,395.96/x
  3. Step 3: Cross multiply
    81,557x = 122,353.10 × 25,395.96
  4. Step 4: Simplify right side
    81,557x = 3,107,274,433.48
  5. Step 5: Solve for x
    x = 3,107,274,433.48/81,557
  6. Step 6: Final answer
    x = 38,099.42

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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.