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Finding the Fourth Proportional to 70,224, 105,336 and 20,976

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Solution

The fourth proportional to 70,224, 105,336 and 20,976 is: 31,464

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,224 : 105,336 = 20,976 : x
  2. Step 2: Convert to fraction form
    70,224/105,336 = 20,976/x
  3. Step 3: Cross multiply
    70,224x = 105,336 × 20,976
  4. Step 4: Simplify right side
    70,224x = 2,209,527,936
  5. Step 5: Solve for x
    x = 2,209,527,936/70,224
  6. Step 6: Final answer
    x = 31,464

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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.