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Finding the Fourth Proportional to 172,540.25, 258,836.49 and 54,200.46

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Solution

The fourth proportional to 172,540.25, 258,836.49 and 54,200.46 is: 81,308.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,540.25 : 258,836.49 = 54,200.46 : x
  2. Step 2: Convert to fraction form
    172,540.25/258,836.49 = 54,200.46/x
  3. Step 3: Cross multiply
    172,540.25x = 258,836.49 × 54,200.46
  4. Step 4: Simplify right side
    172,540.25x = 14,029,056,822.79
  5. Step 5: Solve for x
    x = 14,029,056,822.79/172,540.25
  6. Step 6: Final answer
    x = 81,308.90

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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.