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Finding the Fourth Proportional to 68,524, 102,786 and 19,276

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Solution

The fourth proportional to 68,524, 102,786 and 19,276 is: 28,914

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,524 : 102,786 = 19,276 : x
  2. Step 2: Convert to fraction form
    68,524/102,786 = 19,276/x
  3. Step 3: Cross multiply
    68,524x = 102,786 × 19,276
  4. Step 4: Simplify right side
    68,524x = 1,981,302,936
  5. Step 5: Solve for x
    x = 1,981,302,936/68,524
  6. Step 6: Final answer
    x = 28,914

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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.