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Finding the Fourth Proportional to 222,166.80, 306,588.96 and 120,192

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Solution

The fourth proportional to 222,166.80, 306,588.96 and 120,192 is: 165,864.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,166.80 : 306,588.96 = 120,192 : x
  2. Step 2: Convert to fraction form
    222,166.80/306,588.96 = 120,192/x
  3. Step 3: Cross multiply
    222,166.80x = 306,588.96 × 120,192
  4. Step 4: Simplify right side
    222,166.80x = 36,849,540,280.32
  5. Step 5: Solve for x
    x = 36,849,540,280.32/222,166.80
  6. Step 6: Final answer
    x = 165,864.30

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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.