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Finding the Fourth Proportional to 148,997, 205,615.86 and 81,929

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Solution

The fourth proportional to 148,997, 205,615.86 and 81,929 is: 113,062.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,997 : 205,615.86 = 81,929 : x
  2. Step 2: Convert to fraction form
    148,997/205,615.86 = 81,929/x
  3. Step 3: Cross multiply
    148,997x = 205,615.86 × 81,929
  4. Step 4: Simplify right side
    148,997x = 16,845,901,793.94
  5. Step 5: Solve for x
    x = 16,845,901,793.94/148,997
  6. Step 6: Final answer
    x = 113,062.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.