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Finding the Fourth Proportional to 120,405.96, 166,152.90 and 66,687.78

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Solution

The fourth proportional to 120,405.96, 166,152.90 and 66,687.78 is: 92,025.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,405.96 : 166,152.90 = 66,687.78 : x
  2. Step 2: Convert to fraction form
    120,405.96/166,152.90 = 66,687.78/x
  3. Step 3: Cross multiply
    120,405.96x = 166,152.90 × 66,687.78
  4. Step 4: Simplify right side
    120,405.96x = 11,080,368,041.56
  5. Step 5: Solve for x
    x = 11,080,368,041.56/120,405.96
  6. Step 6: Final answer
    x = 92,025.08

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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.