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Finding the Fourth Proportional to 129,893.10, 194,791.05 and 45,620.70

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Solution

The fourth proportional to 129,893.10, 194,791.05 and 45,620.70 is: 68,413.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,893.10 : 194,791.05 = 45,620.70 : x
  2. Step 2: Convert to fraction form
    129,893.10/194,791.05 = 45,620.70/x
  3. Step 3: Cross multiply
    129,893.10x = 194,791.05 × 45,620.70
  4. Step 4: Simplify right side
    129,893.10x = 8,886,504,054.74
  5. Step 5: Solve for x
    x = 8,886,504,054.74/129,893.10
  6. Step 6: Final answer
    x = 68,413.98

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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.