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Finding the Fourth Proportional to 171,100.92, 256,665.09 and 51,149.10

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Solution

The fourth proportional to 171,100.92, 256,665.09 and 51,149.10 is: 76,727.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,100.92 : 256,665.09 = 51,149.10 : x
  2. Step 2: Convert to fraction form
    171,100.92/256,665.09 = 51,149.10/x
  3. Step 3: Cross multiply
    171,100.92x = 256,665.09 × 51,149.10
  4. Step 4: Simplify right side
    171,100.92x = 13,128,188,354.92
  5. Step 5: Solve for x
    x = 13,128,188,354.92/171,100.92
  6. Step 6: Final answer
    x = 76,727.75

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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.