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Finding the Fourth Proportional to 222,105.42, 306,512.73 and 121,503.42

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Solution

The fourth proportional to 222,105.42, 306,512.73 and 121,503.42 is: 167,678.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,105.42 : 306,512.73 = 121,503.42 : x
  2. Step 2: Convert to fraction form
    222,105.42/306,512.73 = 121,503.42/x
  3. Step 3: Cross multiply
    222,105.42x = 306,512.73 × 121,503.42
  4. Step 4: Simplify right side
    222,105.42x = 37,242,344,968.54
  5. Step 5: Solve for x
    x = 37,242,344,968.54/222,105.42
  6. Step 6: Final answer
    x = 167,678.69

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1.5x scale

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.