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Finding the Fourth Proportional to 66,192, 99,288 and 16,944

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Solution

The fourth proportional to 66,192, 99,288 and 16,944 is: 25,416

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,192 : 99,288 = 16,944 : x
  2. Step 2: Convert to fraction form
    66,192/99,288 = 16,944/x
  3. Step 3: Cross multiply
    66,192x = 99,288 × 16,944
  4. Step 4: Simplify right side
    66,192x = 1,682,335,872
  5. Step 5: Solve for x
    x = 1,682,335,872/66,192
  6. Step 6: Final answer
    x = 25,416

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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.