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Finding the Fourth Proportional to 45,864, 68,799.24 and 18,162

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Solution

The fourth proportional to 45,864, 68,799.24 and 18,162 is: 27,244.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,864 : 68,799.24 = 18,162 : x
  2. Step 2: Convert to fraction form
    45,864/68,799.24 = 18,162/x
  3. Step 3: Cross multiply
    45,864x = 68,799.24 × 18,162
  4. Step 4: Simplify right side
    45,864x = 1,249,531,796.88
  5. Step 5: Solve for x
    x = 1,249,531,796.88/45,864
  6. Step 6: Final answer
    x = 27,244.28

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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.