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Finding the Fourth Proportional to 70,896, 106,344 and 21,648

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Solution

The fourth proportional to 70,896, 106,344 and 21,648 is: 32,472

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,896 : 106,344 = 21,648 : x
  2. Step 2: Convert to fraction form
    70,896/106,344 = 21,648/x
  3. Step 3: Cross multiply
    70,896x = 106,344 × 21,648
  4. Step 4: Simplify right side
    70,896x = 2,302,134,912
  5. Step 5: Solve for x
    x = 2,302,134,912/70,896
  6. Step 6: Final answer
    x = 32,472

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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.