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Finding the Fourth Proportional to 201,145.30, 301,912.35 and 122,413.30

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Solution

The fourth proportional to 201,145.30, 301,912.35 and 122,413.30 is: 183,738.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,145.30 : 301,912.35 = 122,413.30 : x
  2. Step 2: Convert to fraction form
    201,145.30/301,912.35 = 122,413.30/x
  3. Step 3: Cross multiply
    201,145.30x = 301,912.35 × 122,413.30
  4. Step 4: Simplify right side
    201,145.30x = 36,958,087,074.26
  5. Step 5: Solve for x
    x = 36,958,087,074.26/201,145.30
  6. Step 6: Final answer
    x = 183,738.26

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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.