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Finding the Fourth Proportional to 68,258.44, 102,380.74 and 18,332.05

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Solution

The fourth proportional to 68,258.44, 102,380.74 and 18,332.05 is: 27,496.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,258.44 : 102,380.74 = 18,332.05 : x
  2. Step 2: Convert to fraction form
    68,258.44/102,380.74 = 18,332.05/x
  3. Step 3: Cross multiply
    68,258.44x = 102,380.74 × 18,332.05
  4. Step 4: Simplify right side
    68,258.44x = 1,876,848,753.06
  5. Step 5: Solve for x
    x = 1,876,848,753.06/68,258.44
  6. Step 6: Final answer
    x = 27,496.22

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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.