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Finding the Fourth Proportional to 81,705.56, 122,584.74 and 40,123.40

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Solution

The fourth proportional to 81,705.56, 122,584.74 and 40,123.40 is: 60,198.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,705.56 : 122,584.74 = 40,123.40 : x
  2. Step 2: Convert to fraction form
    81,705.56/122,584.74 = 40,123.40/x
  3. Step 3: Cross multiply
    81,705.56x = 122,584.74 × 40,123.40
  4. Step 4: Simplify right side
    81,705.56x = 4,918,516,556.92
  5. Step 5: Solve for x
    x = 4,918,516,556.92/81,705.56
  6. Step 6: Final answer
    x = 60,198.06

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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.