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Finding the Fourth Proportional to 68,094, 102,141 and 18,846

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Solution

The fourth proportional to 68,094, 102,141 and 18,846 is: 28,269

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,094 : 102,141 = 18,846 : x
  2. Step 2: Convert to fraction form
    68,094/102,141 = 18,846/x
  3. Step 3: Cross multiply
    68,094x = 102,141 × 18,846
  4. Step 4: Simplify right side
    68,094x = 1,924,949,286
  5. Step 5: Solve for x
    x = 1,924,949,286/68,094
  6. Step 6: Final answer
    x = 28,269

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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.