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Finding the Fourth Proportional to 120,532.14, 166,331.34 and 66,816.99

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Solution

The fourth proportional to 120,532.14, 166,331.34 and 66,816.99 is: 92,205.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,532.14 : 166,331.34 = 66,816.99 : x
  2. Step 2: Convert to fraction form
    120,532.14/166,331.34 = 66,816.99/x
  3. Step 3: Cross multiply
    120,532.14x = 166,331.34 × 66,816.99
  4. Step 4: Simplify right side
    120,532.14x = 11,113,759,481.47
  5. Step 5: Solve for x
    x = 11,113,759,481.47/120,532.14
  6. Step 6: Final answer
    x = 92,205.78

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