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Finding the Fourth Proportional to 120,553.67, 166,363.27 and 66,838.70

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Solution

The fourth proportional to 120,553.67, 166,363.27 and 66,838.70 is: 92,236.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,553.67 : 166,363.27 = 66,838.70 : x
  2. Step 2: Convert to fraction form
    120,553.67/166,363.27 = 66,838.70/x
  3. Step 3: Cross multiply
    120,553.67x = 166,363.27 × 66,838.70
  4. Step 4: Simplify right side
    120,553.67x = 11,119,504,943.36
  5. Step 5: Solve for x
    x = 11,119,504,943.36/120,553.67
  6. Step 6: Final answer
    x = 92,236.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.