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Finding the Fourth Proportional to 256,033.78, 383,886.24 and 106,377.46

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Solution

The fourth proportional to 256,033.78, 383,886.24 and 106,377.46 is: 159,497.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,033.78 : 383,886.24 = 106,377.46 : x
  2. Step 2: Convert to fraction form
    256,033.78/383,886.24 = 106,377.46/x
  3. Step 3: Cross multiply
    256,033.78x = 383,886.24 × 106,377.46
  4. Step 4: Simplify right side
    256,033.78x = 40,836,843,140.15
  5. Step 5: Solve for x
    x = 40,836,843,140.15/256,033.78
  6. Step 6: Final answer
    x = 159,497.87

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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.