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Finding the Fourth Proportional to 141,847.50, 195,747.21 and 78,191.22

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Solution

The fourth proportional to 141,847.50, 195,747.21 and 78,191.22 is: 107,902.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,847.50 : 195,747.21 = 78,191.22 : x
  2. Step 2: Convert to fraction form
    141,847.50/195,747.21 = 78,191.22/x
  3. Step 3: Cross multiply
    141,847.50x = 195,747.21 × 78,191.22
  4. Step 4: Simplify right side
    141,847.50x = 15,305,713,161.50
  5. Step 5: Solve for x
    x = 15,305,713,161.50/141,847.50
  6. Step 6: Final answer
    x = 107,902.59

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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.