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Finding the Fourth Proportional to 45,443, 68,164.50 and 20,819

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Solution

The fourth proportional to 45,443, 68,164.50 and 20,819 is: 31,228.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,443 : 68,164.50 = 20,819 : x
  2. Step 2: Convert to fraction form
    45,443/68,164.50 = 20,819/x
  3. Step 3: Cross multiply
    45,443x = 68,164.50 × 20,819
  4. Step 4: Simplify right side
    45,443x = 1,419,116,725.50
  5. Step 5: Solve for x
    x = 1,419,116,725.50/45,443
  6. Step 6: Final answer
    x = 31,228.50

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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.