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Finding the Fourth Proportional to 90,049.64, 124,257.93 and 49,761

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Solution

The fourth proportional to 90,049.64, 124,257.93 and 49,761 is: 68,664.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,049.64 : 124,257.93 = 49,761 : x
  2. Step 2: Convert to fraction form
    90,049.64/124,257.93 = 49,761/x
  3. Step 3: Cross multiply
    90,049.64x = 124,257.93 × 49,761
  4. Step 4: Simplify right side
    90,049.64x = 6,183,198,854.73
  5. Step 5: Solve for x
    x = 6,183,198,854.73/90,049.64
  6. Step 6: Final answer
    x = 68,664.34

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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.