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Finding the Fourth Proportional to 189,910.92, 262,076.58 and 109,309

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Solution

The fourth proportional to 189,910.92, 262,076.58 and 109,309 is: 150,846.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,910.92 : 262,076.58 = 109,309 : x
  2. Step 2: Convert to fraction form
    189,910.92/262,076.58 = 109,309/x
  3. Step 3: Cross multiply
    189,910.92x = 262,076.58 × 109,309
  4. Step 4: Simplify right side
    189,910.92x = 28,647,328,883.22
  5. Step 5: Solve for x
    x = 28,647,328,883.22/189,910.92
  6. Step 6: Final answer
    x = 150,846.14

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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.