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Finding the Fourth Proportional to 76,231.56, 105,164.26 and 49,382.92

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Solution

The fourth proportional to 76,231.56, 105,164.26 and 49,382.92 is: 68,125.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,231.56 : 105,164.26 = 49,382.92 : x
  2. Step 2: Convert to fraction form
    76,231.56/105,164.26 = 49,382.92/x
  3. Step 3: Cross multiply
    76,231.56x = 105,164.26 × 49,382.92
  4. Step 4: Simplify right side
    76,231.56x = 5,193,318,238.44
  5. Step 5: Solve for x
    x = 5,193,318,238.44/76,231.56
  6. Step 6: Final answer
    x = 68,125.57

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