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Finding the Fourth Proportional to 49,157, 73,735.78 and 12,221

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Solution

The fourth proportional to 49,157, 73,735.78 and 12,221 is: 18,331.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,157 : 73,735.78 = 12,221 : x
  2. Step 2: Convert to fraction form
    49,157/73,735.78 = 12,221/x
  3. Step 3: Cross multiply
    49,157x = 73,735.78 × 12,221
  4. Step 4: Simplify right side
    49,157x = 901,124,967.38
  5. Step 5: Solve for x
    x = 901,124,967.38/49,157
  6. Step 6: Final answer
    x = 18,331.57

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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.