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Finding the Fourth Proportional to 215,906.45, 297,950.13 and 120,413.08

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Solution

The fourth proportional to 215,906.45, 297,950.13 and 120,413.08 is: 166,169.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,906.45 : 297,950.13 = 120,413.08 : x
  2. Step 2: Convert to fraction form
    215,906.45/297,950.13 = 120,413.08/x
  3. Step 3: Cross multiply
    215,906.45x = 297,950.13 × 120,413.08
  4. Step 4: Simplify right side
    215,906.45x = 35,877,093,212.14
  5. Step 5: Solve for x
    x = 35,877,093,212.14/215,906.45
  6. Step 6: Final answer
    x = 166,169.63

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1.5x scale

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.