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Finding the Fourth Proportional to 222,041, 306,416.58 and 121,439

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Solution

The fourth proportional to 222,041, 306,416.58 and 121,439 is: 167,585.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,041 : 306,416.58 = 121,439 : x
  2. Step 2: Convert to fraction form
    222,041/306,416.58 = 121,439/x
  3. Step 3: Cross multiply
    222,041x = 306,416.58 × 121,439
  4. Step 4: Simplify right side
    222,041x = 37,210,923,058.62
  5. Step 5: Solve for x
    x = 37,210,923,058.62/222,041
  6. Step 6: Final answer
    x = 167,585.82

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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.