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Finding the Fourth Proportional to 256,001.85, 383,785.85 and 106,148.61

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Solution

The fourth proportional to 256,001.85, 383,785.85 and 106,148.61 is: 159,132.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,001.85 : 383,785.85 = 106,148.61 : x
  2. Step 2: Convert to fraction form
    256,001.85/383,785.85 = 106,148.61/x
  3. Step 3: Cross multiply
    256,001.85x = 383,785.85 × 106,148.61
  4. Step 4: Simplify right side
    256,001.85x = 40,738,334,780.54
  5. Step 5: Solve for x
    x = 40,738,334,780.54/256,001.85
  6. Step 6: Final answer
    x = 159,132.97

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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.