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Finding the Fourth Proportional to 256,018.76, 384,028.34 and 87,540.36

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Solution

The fourth proportional to 256,018.76, 384,028.34 and 87,540.36 is: 131,310.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,018.76 : 384,028.34 = 87,540.36 : x
  2. Step 2: Convert to fraction form
    256,018.76/384,028.34 = 87,540.36/x
  3. Step 3: Cross multiply
    256,018.76x = 384,028.34 × 87,540.36
  4. Step 4: Simplify right side
    256,018.76x = 33,617,978,696.10
  5. Step 5: Solve for x
    x = 33,617,978,696.10/256,018.76
  6. Step 6: Final answer
    x = 131,310.61

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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.