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Finding the Fourth Proportional to 70,472, 105,708 and 21,224

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Solution

The fourth proportional to 70,472, 105,708 and 21,224 is: 31,836

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,472 : 105,708 = 21,224 : x
  2. Step 2: Convert to fraction form
    70,472/105,708 = 21,224/x
  3. Step 3: Cross multiply
    70,472x = 105,708 × 21,224
  4. Step 4: Simplify right side
    70,472x = 2,243,546,592
  5. Step 5: Solve for x
    x = 2,243,546,592/70,472
  6. Step 6: Final answer
    x = 31,836

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.