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Finding the Fourth Proportional to 68,647.68, 102,954.24 and 21,876.48

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Solution

The fourth proportional to 68,647.68, 102,954.24 and 21,876.48 is: 32,809.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,647.68 : 102,954.24 = 21,876.48 : x
  2. Step 2: Convert to fraction form
    68,647.68/102,954.24 = 21,876.48/x
  3. Step 3: Cross multiply
    68,647.68x = 102,954.24 × 21,876.48
  4. Step 4: Simplify right side
    68,647.68x = 2,252,276,372.28
  5. Step 5: Solve for x
    x = 2,252,276,372.28/68,647.68
  6. Step 6: Final answer
    x = 32,809.21

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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.