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Finding the Fourth Proportional to 199,128.94, 274,794.72 and 108,486

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Solution

The fourth proportional to 199,128.94, 274,794.72 and 108,486 is: 149,708.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,128.94 : 274,794.72 = 108,486 : x
  2. Step 2: Convert to fraction form
    199,128.94/274,794.72 = 108,486/x
  3. Step 3: Cross multiply
    199,128.94x = 274,794.72 × 108,486
  4. Step 4: Simplify right side
    199,128.94x = 29,811,379,993.92
  5. Step 5: Solve for x
    x = 29,811,379,993.92/199,128.94
  6. Step 6: Final answer
    x = 149,708.93

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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.