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Finding the Fourth Proportional to 81,393, 122,644.12 and 66,926

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Solution

The fourth proportional to 81,393, 122,644.12 and 66,926 is: 100,845.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,393 : 122,644.12 = 66,926 : x
  2. Step 2: Convert to fraction form
    81,393/122,644.12 = 66,926/x
  3. Step 3: Cross multiply
    81,393x = 122,644.12 × 66,926
  4. Step 4: Simplify right side
    81,393x = 8,208,080,375.12
  5. Step 5: Solve for x
    x = 8,208,080,375.12/81,393
  6. Step 6: Final answer
    x = 100,845.04

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.