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Finding the Fourth Proportional to 222,648.10, 333,183.78 and 138,447.92

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Solution

The fourth proportional to 222,648.10, 333,183.78 and 138,447.92 is: 207,181.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,648.10 : 333,183.78 = 138,447.92 : x
  2. Step 2: Convert to fraction form
    222,648.10/333,183.78 = 138,447.92/x
  3. Step 3: Cross multiply
    222,648.10x = 333,183.78 × 138,447.92
  4. Step 4: Simplify right side
    222,648.10x = 46,128,602,151.70
  5. Step 5: Solve for x
    x = 46,128,602,151.70/222,648.10
  6. Step 6: Final answer
    x = 207,181.66

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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.