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Finding the Fourth Proportional to 189,704.33, 261,790.12 and 104,819.57

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Solution

The fourth proportional to 189,704.33, 261,790.12 and 104,819.57 is: 144,649.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,704.33 : 261,790.12 = 104,819.57 : x
  2. Step 2: Convert to fraction form
    189,704.33/261,790.12 = 104,819.57/x
  3. Step 3: Cross multiply
    189,704.33x = 261,790.12 × 104,819.57
  4. Step 4: Simplify right side
    189,704.33x = 27,440,728,594.15
  5. Step 5: Solve for x
    x = 27,440,728,594.15/189,704.33
  6. Step 6: Final answer
    x = 144,649.98

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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.