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Finding the Fourth Proportional to 172,077, 258,125.22 and 61,269

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Solution

The fourth proportional to 172,077, 258,125.22 and 61,269 is: 91,906.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,077 : 258,125.22 = 61,269 : x
  2. Step 2: Convert to fraction form
    172,077/258,125.22 = 61,269/x
  3. Step 3: Cross multiply
    172,077x = 258,125.22 × 61,269
  4. Step 4: Simplify right side
    172,077x = 15,815,074,104.18
  5. Step 5: Solve for x
    x = 15,815,074,104.18/172,077
  6. Step 6: Final answer
    x = 91,906.96

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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.