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Finding the Fourth Proportional to 81,868.44, 112,978.62 and 48,336.60

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Solution

The fourth proportional to 81,868.44, 112,978.62 and 48,336.60 is: 66,704.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,868.44 : 112,978.62 = 48,336.60 : x
  2. Step 2: Convert to fraction form
    81,868.44/112,978.62 = 48,336.60/x
  3. Step 3: Cross multiply
    81,868.44x = 112,978.62 × 48,336.60
  4. Step 4: Simplify right side
    81,868.44x = 5,461,002,363.49
  5. Step 5: Solve for x
    x = 5,461,002,363.49/81,868.44
  6. Step 6: Final answer
    x = 66,704.61

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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.