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Finding the Fourth Proportional to 68,693.92, 103,056.88 and 21,943.20

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Solution

The fourth proportional to 68,693.92, 103,056.88 and 21,943.20 is: 32,919.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,693.92 : 103,056.88 = 21,943.20 : x
  2. Step 2: Convert to fraction form
    68,693.92/103,056.88 = 21,943.20/x
  3. Step 3: Cross multiply
    68,693.92x = 103,056.88 × 21,943.20
  4. Step 4: Simplify right side
    68,693.92x = 2,261,397,729.22
  5. Step 5: Solve for x
    x = 2,261,397,729.22/68,693.92
  6. Step 6: Final answer
    x = 32,919.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.