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Finding the Fourth Proportional to 256,538.52, 353,793.96 and 161,054.12

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Solution

The fourth proportional to 256,538.52, 353,793.96 and 161,054.12 is: 222,110.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,538.52 : 353,793.96 = 161,054.12 : x
  2. Step 2: Convert to fraction form
    256,538.52/353,793.96 = 161,054.12/x
  3. Step 3: Cross multiply
    256,538.52x = 353,793.96 × 161,054.12
  4. Step 4: Simplify right side
    256,538.52x = 56,979,974,889.12
  5. Step 5: Solve for x
    x = 56,979,974,889.12/256,538.52
  6. Step 6: Final answer
    x = 222,110.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.