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Finding the Fourth Proportional to 120,577.37, 166,396.46 and 66,861

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Solution

The fourth proportional to 120,577.37, 166,396.46 and 66,861 is: 92,268.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,577.37 : 166,396.46 = 66,861 : x
  2. Step 2: Convert to fraction form
    120,577.37/166,396.46 = 66,861/x
  3. Step 3: Cross multiply
    120,577.37x = 166,396.46 × 66,861
  4. Step 4: Simplify right side
    120,577.37x = 11,125,433,377.76
  5. Step 5: Solve for x
    x = 11,125,433,377.76/120,577.37
  6. Step 6: Final answer
    x = 92,268.01

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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.