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Finding the Fourth Proportional to 81,704.56, 122,583.24 and 40,122.40

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Solution

The fourth proportional to 81,704.56, 122,583.24 and 40,122.40 is: 60,196.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,704.56 : 122,583.24 = 40,122.40 : x
  2. Step 2: Convert to fraction form
    81,704.56/122,583.24 = 40,122.40/x
  3. Step 3: Cross multiply
    81,704.56x = 122,583.24 × 40,122.40
  4. Step 4: Simplify right side
    81,704.56x = 4,918,333,788.58
  5. Step 5: Solve for x
    x = 4,918,333,788.58/81,704.56
  6. Step 6: Final answer
    x = 60,196.56

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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.