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Finding the Fourth Proportional to 189,081.69, 260,931.48 and 104,198.82

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Solution

The fourth proportional to 189,081.69, 260,931.48 and 104,198.82 is: 143,793.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,081.69 : 260,931.48 = 104,198.82 : x
  2. Step 2: Convert to fraction form
    189,081.69/260,931.48 = 104,198.82/x
  3. Step 3: Cross multiply
    189,081.69x = 260,931.48 × 104,198.82
  4. Step 4: Simplify right side
    189,081.69x = 27,188,752,316.85
  5. Step 5: Solve for x
    x = 27,188,752,316.85/189,081.69
  6. Step 6: Final answer
    x = 143,793.68

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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.