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Finding the Fourth Proportional to 268,876.96, 403,095.12 and 111,218.56

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Solution

The fourth proportional to 268,876.96, 403,095.12 and 111,218.56 is: 166,736.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,876.96 : 403,095.12 = 111,218.56 : x
  2. Step 2: Convert to fraction form
    268,876.96/403,095.12 = 111,218.56/x
  3. Step 3: Cross multiply
    268,876.96x = 403,095.12 × 111,218.56
  4. Step 4: Simplify right side
    268,876.96x = 44,831,658,789.43
  5. Step 5: Solve for x
    x = 44,831,658,789.43/268,876.96
  6. Step 6: Final answer
    x = 166,736.71

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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.