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Finding the Fourth Proportional to 111,262.30, 166,893.45 and 81,519.10

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Solution

The fourth proportional to 111,262.30, 166,893.45 and 81,519.10 is: 122,278.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,262.30 : 166,893.45 = 81,519.10 : x
  2. Step 2: Convert to fraction form
    111,262.30/166,893.45 = 81,519.10/x
  3. Step 3: Cross multiply
    111,262.30x = 166,893.45 × 81,519.10
  4. Step 4: Simplify right side
    111,262.30x = 13,605,003,839.90
  5. Step 5: Solve for x
    x = 13,605,003,839.90/111,262.30
  6. Step 6: Final answer
    x = 122,278.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.