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Finding the Fourth Proportional to 68,381.09, 102,234.45 and 57,967.32

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Solution

The fourth proportional to 68,381.09, 102,234.45 and 57,967.32 is: 86,665.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,381.09 : 102,234.45 = 57,967.32 : x
  2. Step 2: Convert to fraction form
    68,381.09/102,234.45 = 57,967.32/x
  3. Step 3: Cross multiply
    68,381.09x = 102,234.45 × 57,967.32
  4. Step 4: Simplify right side
    68,381.09x = 5,926,257,078.17
  5. Step 5: Solve for x
    x = 5,926,257,078.17/68,381.09
  6. Step 6: Final answer
    x = 86,665.14

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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.