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Finding the Fourth Proportional to 223,413.57, 335,359.10 and 90,380.79

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Solution

The fourth proportional to 223,413.57, 335,359.10 and 90,380.79 is: 135,667.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,413.57 : 335,359.10 = 90,380.79 : x
  2. Step 2: Convert to fraction form
    223,413.57/335,359.10 = 90,380.79/x
  3. Step 3: Cross multiply
    223,413.57x = 335,359.10 × 90,380.79
  4. Step 4: Simplify right side
    223,413.57x = 30,310,020,617.64
  5. Step 5: Solve for x
    x = 30,310,020,617.64/223,413.57
  6. Step 6: Final answer
    x = 135,667.77

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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.