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Finding the Fourth Proportional to 68,576, 102,864 and 19,328

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Solution

The fourth proportional to 68,576, 102,864 and 19,328 is: 28,992

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,576 : 102,864 = 19,328 : x
  2. Step 2: Convert to fraction form
    68,576/102,864 = 19,328/x
  3. Step 3: Cross multiply
    68,576x = 102,864 × 19,328
  4. Step 4: Simplify right side
    68,576x = 1,988,155,392
  5. Step 5: Solve for x
    x = 1,988,155,392/68,576
  6. Step 6: Final answer
    x = 28,992

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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.