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Finding the Fourth Proportional to 68,172.74, 102,263.78 and 23,175.78

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Solution

The fourth proportional to 68,172.74, 102,263.78 and 23,175.78 is: 34,765.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,172.74 : 102,263.78 = 23,175.78 : x
  2. Step 2: Convert to fraction form
    68,172.74/102,263.78 = 23,175.78/x
  3. Step 3: Cross multiply
    68,172.74x = 102,263.78 × 23,175.78
  4. Step 4: Simplify right side
    68,172.74x = 2,370,042,867.25
  5. Step 5: Solve for x
    x = 2,370,042,867.25/68,172.74
  6. Step 6: Final answer
    x = 34,765.26

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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.