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Finding the Fourth Proportional to 45,504, 68,256 and 12,672

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Solution

The fourth proportional to 45,504, 68,256 and 12,672 is: 19,008

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,504 : 68,256 = 12,672 : x
  2. Step 2: Convert to fraction form
    45,504/68,256 = 12,672/x
  3. Step 3: Cross multiply
    45,504x = 68,256 × 12,672
  4. Step 4: Simplify right side
    45,504x = 864,940,032
  5. Step 5: Solve for x
    x = 864,940,032/45,504
  6. Step 6: Final answer
    x = 19,008

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.