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Finding the Fourth Proportional to 70,576, 105,864 and 21,328

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Solution

The fourth proportional to 70,576, 105,864 and 21,328 is: 31,992

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,576 : 105,864 = 21,328 : x
  2. Step 2: Convert to fraction form
    70,576/105,864 = 21,328/x
  3. Step 3: Cross multiply
    70,576x = 105,864 × 21,328
  4. Step 4: Simplify right side
    70,576x = 2,257,867,392
  5. Step 5: Solve for x
    x = 2,257,867,392/70,576
  6. Step 6: Final answer
    x = 31,992

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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.