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Finding the Fourth Proportional to 256,042.50, 383,961.06 and 106,180.98

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Solution

The fourth proportional to 256,042.50, 383,961.06 and 106,180.98 is: 159,228.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,042.50 : 383,961.06 = 106,180.98 : x
  2. Step 2: Convert to fraction form
    256,042.50/383,961.06 = 106,180.98/x
  3. Step 3: Cross multiply
    256,042.50x = 383,961.06 × 106,180.98
  4. Step 4: Simplify right side
    256,042.50x = 40,769,361,632.64
  5. Step 5: Solve for x
    x = 40,769,361,632.64/256,042.50
  6. Step 6: Final answer
    x = 159,228.88

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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.