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Finding the Fourth Proportional to 68,487, 102,722.28 and 18,564

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Solution

The fourth proportional to 68,487, 102,722.28 and 18,564 is: 27,843.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,487 : 102,722.28 = 18,564 : x
  2. Step 2: Convert to fraction form
    68,487/102,722.28 = 18,564/x
  3. Step 3: Cross multiply
    68,487x = 102,722.28 × 18,564
  4. Step 4: Simplify right side
    68,487x = 1,906,936,405.92
  5. Step 5: Solve for x
    x = 1,906,936,405.92/68,487
  6. Step 6: Final answer
    x = 27,843.77

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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.