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Finding the Fourth Proportional to 81,999, 122,987.22 and 32,044.44

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Solution

The fourth proportional to 81,999, 122,987.22 and 32,044.44 is: 48,062.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,999 : 122,987.22 = 32,044.44 : x
  2. Step 2: Convert to fraction form
    81,999/122,987.22 = 32,044.44/x
  3. Step 3: Cross multiply
    81,999x = 122,987.22 × 32,044.44
  4. Step 4: Simplify right side
    81,999x = 3,941,056,592.06
  5. Step 5: Solve for x
    x = 3,941,056,592.06/81,999
  6. Step 6: Final answer
    x = 48,062.25

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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.