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Finding the Fourth Proportional to 68,116.75, 102,175.17 and 18,868.75

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Solution

The fourth proportional to 68,116.75, 102,175.17 and 18,868.75 is: 28,303.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,116.75 : 102,175.17 = 18,868.75 : x
  2. Step 2: Convert to fraction form
    68,116.75/102,175.17 = 18,868.75/x
  3. Step 3: Cross multiply
    68,116.75x = 102,175.17 × 18,868.75
  4. Step 4: Simplify right side
    68,116.75x = 1,927,917,738.94
  5. Step 5: Solve for x
    x = 1,927,917,738.94/68,116.75
  6. Step 6: Final answer
    x = 28,303.14

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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.