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Finding the Fourth Proportional to 81,100.26, 111,913.71 and 48,431.54

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Solution

The fourth proportional to 81,100.26, 111,913.71 and 48,431.54 is: 66,832.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,100.26 : 111,913.71 = 48,431.54 : x
  2. Step 2: Convert to fraction form
    81,100.26/111,913.71 = 48,431.54/x
  3. Step 3: Cross multiply
    81,100.26x = 111,913.71 × 48,431.54
  4. Step 4: Simplify right side
    81,100.26x = 5,420,153,322.41
  5. Step 5: Solve for x
    x = 5,420,153,322.41/81,100.26
  6. Step 6: Final answer
    x = 66,832.75

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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.