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Finding the Fourth Proportional to 129,413.40, 194,040.90 and 50,436.60

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Solution

The fourth proportional to 129,413.40, 194,040.90 and 50,436.60 is: 75,624.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,413.40 : 194,040.90 = 50,436.60 : x
  2. Step 2: Convert to fraction form
    129,413.40/194,040.90 = 50,436.60/x
  3. Step 3: Cross multiply
    129,413.40x = 194,040.90 × 50,436.60
  4. Step 4: Simplify right side
    129,413.40x = 9,786,763,256.94
  5. Step 5: Solve for x
    x = 9,786,763,256.94/129,413.40
  6. Step 6: Final answer
    x = 75,624.03

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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.