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Finding the Fourth Proportional to 129,198.95, 193,826.37 and 39,234.27

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Solution

The fourth proportional to 129,198.95, 193,826.37 and 39,234.27 is: 58,859.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,198.95 : 193,826.37 = 39,234.27 : x
  2. Step 2: Convert to fraction form
    129,198.95/193,826.37 = 39,234.27/x
  3. Step 3: Cross multiply
    129,198.95x = 193,826.37 × 39,234.27
  4. Step 4: Simplify right side
    129,198.95x = 7,604,636,133.70
  5. Step 5: Solve for x
    x = 7,604,636,133.70/129,198.95
  6. Step 6: Final answer
    x = 58,859.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.