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Finding the Fourth Proportional to 222,138.75, 306,232.63 and 158,365.83

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Solution

The fourth proportional to 222,138.75, 306,232.63 and 158,365.83 is: 218,317.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,138.75 : 306,232.63 = 158,365.83 : x
  2. Step 2: Convert to fraction form
    222,138.75/306,232.63 = 158,365.83/x
  3. Step 3: Cross multiply
    222,138.75x = 306,232.63 × 158,365.83
  4. Step 4: Simplify right side
    222,138.75x = 48,496,784,623.03
  5. Step 5: Solve for x
    x = 48,496,784,623.03/222,138.75
  6. Step 6: Final answer
    x = 218,317.54

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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.