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Finding the Fourth Proportional to 120,449, 166,219.62 and 73,345

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Solution

The fourth proportional to 120,449, 166,219.62 and 73,345 is: 101,216.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,449 : 166,219.62 = 73,345 : x
  2. Step 2: Convert to fraction form
    120,449/166,219.62 = 73,345/x
  3. Step 3: Cross multiply
    120,449x = 166,219.62 × 73,345
  4. Step 4: Simplify right side
    120,449x = 12,191,378,028.90
  5. Step 5: Solve for x
    x = 12,191,378,028.90/120,449
  6. Step 6: Final answer
    x = 101,216.10

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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.