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Finding the Fourth Proportional to 85,376.94, 117,836.06 and 49,099.62

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Solution

The fourth proportional to 85,376.94, 117,836.06 and 49,099.62 is: 67,766.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,376.94 : 117,836.06 = 49,099.62 : x
  2. Step 2: Convert to fraction form
    85,376.94/117,836.06 = 49,099.62/x
  3. Step 3: Cross multiply
    85,376.94x = 117,836.06 × 49,099.62
  4. Step 4: Simplify right side
    85,376.94x = 5,785,705,768.30
  5. Step 5: Solve for x
    x = 5,785,705,768.30/85,376.94
  6. Step 6: Final answer
    x = 67,766.61

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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.