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Finding the Fourth Proportional to 81,851.56, 122,753.10 and 35,093.32

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Solution

The fourth proportional to 81,851.56, 122,753.10 and 35,093.32 is: 52,629.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,851.56 : 122,753.10 = 35,093.32 : x
  2. Step 2: Convert to fraction form
    81,851.56/122,753.10 = 35,093.32/x
  3. Step 3: Cross multiply
    81,851.56x = 122,753.10 × 35,093.32
  4. Step 4: Simplify right side
    81,851.56x = 4,307,813,819.29
  5. Step 5: Solve for x
    x = 4,307,813,819.29/81,851.56
  6. Step 6: Final answer
    x = 52,629.59

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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.