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Finding the Fourth Proportional to 141,843.75, 195,744.77 and 78,181.80

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Solution

The fourth proportional to 141,843.75, 195,744.77 and 78,181.80 is: 107,891.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,843.75 : 195,744.77 = 78,181.80 : x
  2. Step 2: Convert to fraction form
    141,843.75/195,744.77 = 78,181.80/x
  3. Step 3: Cross multiply
    141,843.75x = 195,744.77 × 78,181.80
  4. Step 4: Simplify right side
    141,843.75x = 15,303,677,089.55
  5. Step 5: Solve for x
    x = 15,303,677,089.55/141,843.75
  6. Step 6: Final answer
    x = 107,891.10

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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.