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Finding the Fourth Proportional to 221,086, 305,100.84 and 120,486.16

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Solution

The fourth proportional to 221,086, 305,100.84 and 120,486.16 is: 166,272.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,086 : 305,100.84 = 120,486.16 : x
  2. Step 2: Convert to fraction form
    221,086/305,100.84 = 120,486.16/x
  3. Step 3: Cross multiply
    221,086x = 305,100.84 × 120,486.16
  4. Step 4: Simplify right side
    221,086x = 36,760,428,624.37
  5. Step 5: Solve for x
    x = 36,760,428,624.37/221,086
  6. Step 6: Final answer
    x = 166,272.08

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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.