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Finding the Fourth Proportional to 72,096, 108,144 and 22,848

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Solution

The fourth proportional to 72,096, 108,144 and 22,848 is: 34,272

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,096 : 108,144 = 22,848 : x
  2. Step 2: Convert to fraction form
    72,096/108,144 = 22,848/x
  3. Step 3: Cross multiply
    72,096x = 108,144 × 22,848
  4. Step 4: Simplify right side
    72,096x = 2,470,874,112
  5. Step 5: Solve for x
    x = 2,470,874,112/72,096
  6. Step 6: Final answer
    x = 34,272

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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.