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Finding the Fourth Proportional to 68,976, 103,464 and 19,728

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Solution

The fourth proportional to 68,976, 103,464 and 19,728 is: 29,592

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,976 : 103,464 = 19,728 : x
  2. Step 2: Convert to fraction form
    68,976/103,464 = 19,728/x
  3. Step 3: Cross multiply
    68,976x = 103,464 × 19,728
  4. Step 4: Simplify right side
    68,976x = 2,041,137,792
  5. Step 5: Solve for x
    x = 2,041,137,792/68,976
  6. Step 6: Final answer
    x = 29,592

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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.