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Finding the Fourth Proportional to 256,892.76, 385,449.86 and 107,162.52

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Solution

The fourth proportional to 256,892.76, 385,449.86 and 107,162.52 is: 160,789.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,892.76 : 385,449.86 = 107,162.52 : x
  2. Step 2: Convert to fraction form
    256,892.76/385,449.86 = 107,162.52/x
  3. Step 3: Cross multiply
    256,892.76x = 385,449.86 × 107,162.52
  4. Step 4: Simplify right side
    256,892.76x = 41,305,778,331.25
  5. Step 5: Solve for x
    x = 41,305,778,331.25/256,892.76
  6. Step 6: Final answer
    x = 160,789.97

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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.