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Finding the Fourth Proportional to 68,135.60, 102,219.74 and 21,388.48

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Solution

The fourth proportional to 68,135.60, 102,219.74 and 21,388.48 is: 32,087.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,135.60 : 102,219.74 = 21,388.48 : x
  2. Step 2: Convert to fraction form
    68,135.60/102,219.74 = 21,388.48/x
  3. Step 3: Cross multiply
    68,135.60x = 102,219.74 × 21,388.48
  4. Step 4: Simplify right side
    68,135.60x = 2,186,324,864.60
  5. Step 5: Solve for x
    x = 2,186,324,864.60/68,135.60
  6. Step 6: Final answer
    x = 32,087.85

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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.