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Finding the Fourth Proportional to 68,172.82, 102,100.51 and 65,808.12

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Solution

The fourth proportional to 68,172.82, 102,100.51 and 65,808.12 is: 98,558.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,172.82 : 102,100.51 = 65,808.12 : x
  2. Step 2: Convert to fraction form
    68,172.82/102,100.51 = 65,808.12/x
  3. Step 3: Cross multiply
    68,172.82x = 102,100.51 × 65,808.12
  4. Step 4: Simplify right side
    68,172.82x = 6,719,042,614.14
  5. Step 5: Solve for x
    x = 6,719,042,614.14/68,172.82
  6. Step 6: Final answer
    x = 98,558.97

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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.