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Finding the Fourth Proportional to 253,998.56, 381,071.82 and 113,724.38

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Solution

The fourth proportional to 253,998.56, 381,071.82 and 113,724.38 is: 170,619.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,998.56 : 381,071.82 = 113,724.38 : x
  2. Step 2: Convert to fraction form
    253,998.56/381,071.82 = 113,724.38/x
  3. Step 3: Cross multiply
    253,998.56x = 381,071.82 × 113,724.38
  4. Step 4: Simplify right side
    253,998.56x = 43,337,156,464.97
  5. Step 5: Solve for x
    x = 43,337,156,464.97/253,998.56
  6. Step 6: Final answer
    x = 170,619.69

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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.