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Finding the Fourth Proportional to 120,892.10, 166,846.43 and 73,145.84

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Solution

The fourth proportional to 120,892.10, 166,846.43 and 73,145.84 is: 100,950.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,892.10 : 166,846.43 = 73,145.84 : x
  2. Step 2: Convert to fraction form
    120,892.10/166,846.43 = 73,145.84/x
  3. Step 3: Cross multiply
    120,892.10x = 166,846.43 × 73,145.84
  4. Step 4: Simplify right side
    120,892.10x = 12,204,121,621.98
  5. Step 5: Solve for x
    x = 12,204,121,621.98/120,892.10
  6. Step 6: Final answer
    x = 100,950.53

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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.