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Finding the Fourth Proportional to 80,064, 120,096 and 21,696

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Solution

The fourth proportional to 80,064, 120,096 and 21,696 is: 32,544

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,064 : 120,096 = 21,696 : x
  2. Step 2: Convert to fraction form
    80,064/120,096 = 21,696/x
  3. Step 3: Cross multiply
    80,064x = 120,096 × 21,696
  4. Step 4: Simplify right side
    80,064x = 2,605,602,816
  5. Step 5: Solve for x
    x = 2,605,602,816/80,064
  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.