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Finding the Fourth Proportional to 43,162, 64,743.02 and 11,997.52

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Solution

The fourth proportional to 43,162, 64,743.02 and 11,997.52 is: 17,996.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,162 : 64,743.02 = 11,997.52 : x
  2. Step 2: Convert to fraction form
    43,162/64,743.02 = 11,997.52/x
  3. Step 3: Cross multiply
    43,162x = 64,743.02 × 11,997.52
  4. Step 4: Simplify right side
    43,162x = 776,755,677.31
  5. Step 5: Solve for x
    x = 776,755,677.31/43,162
  6. Step 6: Final answer
    x = 17,996.29

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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.