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Finding the Fourth Proportional to 200,413.20, 300,036.60 and 121,486.80

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Solution

The fourth proportional to 200,413.20, 300,036.60 and 121,486.80 is: 181,876.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,413.20 : 300,036.60 = 121,486.80 : x
  2. Step 2: Convert to fraction form
    200,413.20/300,036.60 = 121,486.80/x
  3. Step 3: Cross multiply
    200,413.20x = 300,036.60 × 121,486.80
  4. Step 4: Simplify right side
    200,413.20x = 36,450,486,416.88
  5. Step 5: Solve for x
    x = 36,450,486,416.88/200,413.20
  6. Step 6: Final answer
    x = 181,876.67

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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.