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Finding the Fourth Proportional to 68,016, 102,029.88 and 18,768

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Solution

The fourth proportional to 68,016, 102,029.88 and 18,768 is: 28,153.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,016 : 102,029.88 = 18,768 : x
  2. Step 2: Convert to fraction form
    68,016/102,029.88 = 18,768/x
  3. Step 3: Cross multiply
    68,016x = 102,029.88 × 18,768
  4. Step 4: Simplify right side
    68,016x = 1,914,896,787.84
  5. Step 5: Solve for x
    x = 1,914,896,787.84/68,016
  6. Step 6: Final answer
    x = 28,153.62

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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.