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Finding the Fourth Proportional to 111,294.72, 166,942.08 and 52,171.92

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Solution

The fourth proportional to 111,294.72, 166,942.08 and 52,171.92 is: 78,257.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,294.72 : 166,942.08 = 52,171.92 : x
  2. Step 2: Convert to fraction form
    111,294.72/166,942.08 = 52,171.92/x
  3. Step 3: Cross multiply
    111,294.72x = 166,942.08 × 52,171.92
  4. Step 4: Simplify right side
    111,294.72x = 8,709,688,842.39
  5. Step 5: Solve for x
    x = 8,709,688,842.39/111,294.72
  6. Step 6: Final answer
    x = 78,257.88

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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.