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Finding the Fourth Proportional to 81,912.18, 122,868.18 and 25,757.22

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Solution

The fourth proportional to 81,912.18, 122,868.18 and 25,757.22 is: 38,635.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,912.18 : 122,868.18 = 25,757.22 : x
  2. Step 2: Convert to fraction form
    81,912.18/122,868.18 = 25,757.22/x
  3. Step 3: Cross multiply
    81,912.18x = 122,868.18 × 25,757.22
  4. Step 4: Simplify right side
    81,912.18x = 3,164,742,743.26
  5. Step 5: Solve for x
    x = 3,164,742,743.26/81,912.18
  6. Step 6: Final answer
    x = 38,635.80

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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.