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Finding the Fourth Proportional to 222,330, 306,782.34 and 135,069.78

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Solution

The fourth proportional to 222,330, 306,782.34 and 135,069.78 is: 186,376.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,330 : 306,782.34 = 135,069.78 : x
  2. Step 2: Convert to fraction form
    222,330/306,782.34 = 135,069.78/x
  3. Step 3: Cross multiply
    222,330x = 306,782.34 × 135,069.78
  4. Step 4: Simplify right side
    222,330x = 41,437,023,171.69
  5. Step 5: Solve for x
    x = 41,437,023,171.69/222,330
  6. Step 6: Final answer
    x = 186,376.21

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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.