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Finding the Fourth Proportional to 50,880, 76,320 and 21,696

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Solution

The fourth proportional to 50,880, 76,320 and 21,696 is: 32,544

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,880 : 76,320 = 21,696 : x
  2. Step 2: Convert to fraction form
    50,880/76,320 = 21,696/x
  3. Step 3: Cross multiply
    50,880x = 76,320 × 21,696
  4. Step 4: Simplify right side
    50,880x = 1,655,838,720
  5. Step 5: Solve for x
    x = 1,655,838,720/50,880
  6. Step 6: Final answer
    x = 32,544

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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.