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Finding the Fourth Proportional to 254,169.92, 381,257.64 and 76,678.48

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Solution

The fourth proportional to 254,169.92, 381,257.64 and 76,678.48 is: 115,018.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,169.92 : 381,257.64 = 76,678.48 : x
  2. Step 2: Convert to fraction form
    254,169.92/381,257.64 = 76,678.48/x
  3. Step 3: Cross multiply
    254,169.92x = 381,257.64 × 76,678.48
  4. Step 4: Simplify right side
    254,169.92x = 29,234,256,323.59
  5. Step 5: Solve for x
    x = 29,234,256,323.59/254,169.92
  6. Step 6: Final answer
    x = 115,018.55

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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.