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Finding the Fourth Proportional to 54,048, 81,072 and 21,216

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Solution

The fourth proportional to 54,048, 81,072 and 21,216 is: 31,824

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,048 : 81,072 = 21,216 : x
  2. Step 2: Convert to fraction form
    54,048/81,072 = 21,216/x
  3. Step 3: Cross multiply
    54,048x = 81,072 × 21,216
  4. Step 4: Simplify right side
    54,048x = 1,720,023,552
  5. Step 5: Solve for x
    x = 1,720,023,552/54,048
  6. Step 6: Final answer
    x = 31,824

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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.