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Finding the Fourth Proportional to 145,223.42, 200,413.84 and 80,697.44

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Solution

The fourth proportional to 145,223.42, 200,413.84 and 80,697.44 is: 111,365.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,223.42 : 200,413.84 = 80,697.44 : x
  2. Step 2: Convert to fraction form
    145,223.42/200,413.84 = 80,697.44/x
  3. Step 3: Cross multiply
    145,223.42x = 200,413.84 × 80,697.44
  4. Step 4: Simplify right side
    145,223.42x = 16,172,883,828.57
  5. Step 5: Solve for x
    x = 16,172,883,828.57/145,223.42
  6. Step 6: Final answer
    x = 111,365.54

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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.