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Finding the Fourth Proportional to 140,917.20, 211,375.80 and 47,413.20

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Solution

The fourth proportional to 140,917.20, 211,375.80 and 47,413.20 is: 71,119.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,917.20 : 211,375.80 = 47,413.20 : x
  2. Step 2: Convert to fraction form
    140,917.20/211,375.80 = 47,413.20/x
  3. Step 3: Cross multiply
    140,917.20x = 211,375.80 × 47,413.20
  4. Step 4: Simplify right side
    140,917.20x = 10,022,003,080.56
  5. Step 5: Solve for x
    x = 10,022,003,080.56/140,917.20
  6. Step 6: Final answer
    x = 71,119.80

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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.