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Finding the Fourth Proportional to 68,142.73, 102,214.99 and 21,395.60

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Solution

The fourth proportional to 68,142.73, 102,214.99 and 21,395.60 is: 32,093.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,142.73 : 102,214.99 = 21,395.60 : x
  2. Step 2: Convert to fraction form
    68,142.73/102,214.99 = 21,395.60/x
  3. Step 3: Cross multiply
    68,142.73x = 102,214.99 × 21,395.60
  4. Step 4: Simplify right side
    68,142.73x = 2,186,951,040.04
  5. Step 5: Solve for x
    x = 2,186,951,040.04/68,142.73
  6. Step 6: Final answer
    x = 32,093.68

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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.