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Finding the Fourth Proportional to 68,325, 102,502.08 and 26,772

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Solution

The fourth proportional to 68,325, 102,502.08 and 26,772 is: 40,163.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,325 : 102,502.08 = 26,772 : x
  2. Step 2: Convert to fraction form
    68,325/102,502.08 = 26,772/x
  3. Step 3: Cross multiply
    68,325x = 102,502.08 × 26,772
  4. Step 4: Simplify right side
    68,325x = 2,744,185,685.76
  5. Step 5: Solve for x
    x = 2,744,185,685.76/68,325
  6. Step 6: Final answer
    x = 40,163.71

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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.