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Finding the Fourth Proportional to 68,560.70, 102,851.31 and 21,824.06

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Solution

The fourth proportional to 68,560.70, 102,851.31 and 21,824.06 is: 32,739.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,560.70 : 102,851.31 = 21,824.06 : x
  2. Step 2: Convert to fraction form
    68,560.70/102,851.31 = 21,824.06/x
  3. Step 3: Cross multiply
    68,560.70x = 102,851.31 × 21,824.06
  4. Step 4: Simplify right side
    68,560.70x = 2,244,633,160.52
  5. Step 5: Solve for x
    x = 2,244,633,160.52/68,560.70
  6. Step 6: Final answer
    x = 32,739.36

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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.