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Finding the Fourth Proportional to 256,061.97, 383,876.06 and 106,208.73

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Solution

The fourth proportional to 256,061.97, 383,876.06 and 106,208.73 is: 159,223.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,061.97 : 383,876.06 = 106,208.73 : x
  2. Step 2: Convert to fraction form
    256,061.97/383,876.06 = 106,208.73/x
  3. Step 3: Cross multiply
    256,061.97x = 383,876.06 × 106,208.73
  4. Step 4: Simplify right side
    256,061.97x = 40,770,986,890.62
  5. Step 5: Solve for x
    x = 40,770,986,890.62/256,061.97
  6. Step 6: Final answer
    x = 159,223.13

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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.