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Finding the Fourth Proportional to 189,062.82, 260,912.25 and 104,185.35

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Solution

The fourth proportional to 189,062.82, 260,912.25 and 104,185.35 is: 143,778.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,062.82 : 260,912.25 = 104,185.35 : x
  2. Step 2: Convert to fraction form
    189,062.82/260,912.25 = 104,185.35/x
  3. Step 3: Cross multiply
    189,062.82x = 260,912.25 × 104,185.35
  4. Step 4: Simplify right side
    189,062.82x = 27,183,234,085.54
  5. Step 5: Solve for x
    x = 27,183,234,085.54/189,062.82
  6. Step 6: Final answer
    x = 143,778.85

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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.