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Finding the Fourth Proportional to 189,912.96, 262,081.44 and 105,031.68

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Solution

The fourth proportional to 189,912.96, 262,081.44 and 105,031.68 is: 144,944.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,912.96 : 262,081.44 = 105,031.68 : x
  2. Step 2: Convert to fraction form
    189,912.96/262,081.44 = 105,031.68/x
  3. Step 3: Cross multiply
    189,912.96x = 262,081.44 × 105,031.68
  4. Step 4: Simplify right side
    189,912.96x = 27,526,853,940.02
  5. Step 5: Solve for x
    x = 27,526,853,940.02/189,912.96
  6. Step 6: Final answer
    x = 144,944.58

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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.