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Finding the Fourth Proportional to 81,412.98, 122,674.02 and 66,945.98

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Solution

The fourth proportional to 81,412.98, 122,674.02 and 66,945.98 is: 100,874.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,412.98 : 122,674.02 = 66,945.98 : x
  2. Step 2: Convert to fraction form
    81,412.98/122,674.02 = 66,945.98/x
  3. Step 3: Cross multiply
    81,412.98x = 122,674.02 × 66,945.98
  4. Step 4: Simplify right side
    81,412.98x = 8,212,531,876.07
  5. Step 5: Solve for x
    x = 8,212,531,876.07/81,412.98
  6. Step 6: Final answer
    x = 100,874.97

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.