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Finding the Fourth Proportional to 222,175.08, 306,600.78 and 120,200.22

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Solution

The fourth proportional to 222,175.08, 306,600.78 and 120,200.22 is: 165,875.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,175.08 : 306,600.78 = 120,200.22 : x
  2. Step 2: Convert to fraction form
    222,175.08/306,600.78 = 120,200.22/x
  3. Step 3: Cross multiply
    222,175.08x = 306,600.78 × 120,200.22
  4. Step 4: Simplify right side
    222,175.08x = 36,853,479,074.17
  5. Step 5: Solve for x
    x = 36,853,479,074.17/222,175.08
  6. Step 6: Final answer
    x = 165,875.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.