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Finding the Fourth Proportional to 189,033.44, 260,864.78 and 102,992.42

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Solution

The fourth proportional to 189,033.44, 260,864.78 and 102,992.42 is: 142,128.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,033.44 : 260,864.78 = 102,992.42 : x
  2. Step 2: Convert to fraction form
    189,033.44/260,864.78 = 102,992.42/x
  3. Step 3: Cross multiply
    189,033.44x = 260,864.78 × 102,992.42
  4. Step 4: Simplify right side
    189,033.44x = 26,867,093,165.68
  5. Step 5: Solve for x
    x = 26,867,093,165.68/189,033.44
  6. Step 6: Final answer
    x = 142,128.79

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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.