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Finding the Fourth Proportional to 120,356.75, 166,073.67 and 69,371.85

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Solution

The fourth proportional to 120,356.75, 166,073.67 and 69,371.85 is: 95,722.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,356.75 : 166,073.67 = 69,371.85 : x
  2. Step 2: Convert to fraction form
    120,356.75/166,073.67 = 69,371.85/x
  3. Step 3: Cross multiply
    120,356.75x = 166,073.67 × 69,371.85
  4. Step 4: Simplify right side
    120,356.75x = 11,520,838,346.97
  5. Step 5: Solve for x
    x = 11,520,838,346.97/120,356.75
  6. Step 6: Final answer
    x = 95,722.41

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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.