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Finding the Fourth Proportional to 68,496.68, 102,814.84 and 36,905.40

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Solution

The fourth proportional to 68,496.68, 102,814.84 and 36,905.40 is: 55,395.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,496.68 : 102,814.84 = 36,905.40 : x
  2. Step 2: Convert to fraction form
    68,496.68/102,814.84 = 36,905.40/x
  3. Step 3: Cross multiply
    68,496.68x = 102,814.84 × 36,905.40
  4. Step 4: Simplify right side
    68,496.68x = 3,794,422,796.14
  5. Step 5: Solve for x
    x = 3,794,422,796.14/68,496.68
  6. Step 6: Final answer
    x = 55,395.72

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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.