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Finding the Fourth Proportional to 189,800.76, 261,944.28 and 109,231.68

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Solution

The fourth proportional to 189,800.76, 261,944.28 and 109,231.68 is: 150,750.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,800.76 : 261,944.28 = 109,231.68 : x
  2. Step 2: Convert to fraction form
    189,800.76/261,944.28 = 109,231.68/x
  3. Step 3: Cross multiply
    189,800.76x = 261,944.28 × 109,231.68
  4. Step 4: Simplify right side
    189,800.76x = 28,612,613,770.79
  5. Step 5: Solve for x
    x = 28,612,613,770.79/189,800.76
  6. Step 6: Final answer
    x = 150,750.79

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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.