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Finding the Fourth Proportional to 189,388.64, 261,450.96 and 117,791.76

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Solution

The fourth proportional to 189,388.64, 261,450.96 and 117,791.76 is: 162,611.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,388.64 : 261,450.96 = 117,791.76 : x
  2. Step 2: Convert to fraction form
    189,388.64/261,450.96 = 117,791.76/x
  3. Step 3: Cross multiply
    189,388.64x = 261,450.96 × 117,791.76
  4. Step 4: Simplify right side
    189,388.64x = 30,796,768,732.09
  5. Step 5: Solve for x
    x = 30,796,768,732.09/189,388.64
  6. Step 6: Final answer
    x = 162,611.49

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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.