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Finding the Fourth Proportional to 68,478.85, 102,729.32 and 21,093.94

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Solution

The fourth proportional to 68,478.85, 102,729.32 and 21,093.94 is: 31,644.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,478.85 : 102,729.32 = 21,093.94 : x
  2. Step 2: Convert to fraction form
    68,478.85/102,729.32 = 21,093.94/x
  3. Step 3: Cross multiply
    68,478.85x = 102,729.32 × 21,093.94
  4. Step 4: Simplify right side
    68,478.85x = 2,166,965,493.20
  5. Step 5: Solve for x
    x = 2,166,965,493.20/68,478.85
  6. Step 6: Final answer
    x = 31,644.30

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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.