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Finding the Fourth Proportional to 181,950, 251,092.62 and 106,500.12

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Solution

The fourth proportional to 181,950, 251,092.62 and 106,500.12 is: 146,971.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,950 : 251,092.62 = 106,500.12 : x
  2. Step 2: Convert to fraction form
    181,950/251,092.62 = 106,500.12/x
  3. Step 3: Cross multiply
    181,950x = 251,092.62 × 106,500.12
  4. Step 4: Simplify right side
    181,950x = 26,741,394,161.11
  5. Step 5: Solve for x
    x = 26,741,394,161.11/181,950
  6. Step 6: Final answer
    x = 146,971.11

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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.