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Finding the Fourth Proportional to 166,625, 229,942.50 and 91,173.50

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Solution

The fourth proportional to 166,625, 229,942.50 and 91,173.50 is: 125,819.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,625 : 229,942.50 = 91,173.50 : x
  2. Step 2: Convert to fraction form
    166,625/229,942.50 = 91,173.50/x
  3. Step 3: Cross multiply
    166,625x = 229,942.50 × 91,173.50
  4. Step 4: Simplify right side
    166,625x = 20,964,662,523.75
  5. Step 5: Solve for x
    x = 20,964,662,523.75/166,625
  6. Step 6: Final answer
    x = 125,819.43

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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.