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Finding the Fourth Proportional to 222,751.32, 307,396.62 and 120,780.16

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Solution

The fourth proportional to 222,751.32, 307,396.62 and 120,780.16 is: 166,676.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,751.32 : 307,396.62 = 120,780.16 : x
  2. Step 2: Convert to fraction form
    222,751.32/307,396.62 = 120,780.16/x
  3. Step 3: Cross multiply
    222,751.32x = 307,396.62 × 120,780.16
  4. Step 4: Simplify right side
    222,751.32x = 37,127,412,947.06
  5. Step 5: Solve for x
    x = 37,127,412,947.06/222,751.32
  6. Step 6: Final answer
    x = 166,676.51

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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.