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Finding the Fourth Proportional to 68,364, 102,546 and 19,116

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Solution

The fourth proportional to 68,364, 102,546 and 19,116 is: 28,674

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,364 : 102,546 = 19,116 : x
  2. Step 2: Convert to fraction form
    68,364/102,546 = 19,116/x
  3. Step 3: Cross multiply
    68,364x = 102,546 × 19,116
  4. Step 4: Simplify right side
    68,364x = 1,960,269,336
  5. Step 5: Solve for x
    x = 1,960,269,336/68,364
  6. Step 6: Final answer
    x = 28,674

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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.