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Finding the Fourth Proportional to 141,231.80, 211,739.70 and 71,161.40

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Solution

The fourth proportional to 141,231.80, 211,739.70 and 71,161.40 is: 106,687.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,231.80 : 211,739.70 = 71,161.40 : x
  2. Step 2: Convert to fraction form
    141,231.80/211,739.70 = 71,161.40/x
  3. Step 3: Cross multiply
    141,231.80x = 211,739.70 × 71,161.40
  4. Step 4: Simplify right side
    141,231.80x = 15,067,693,487.58
  5. Step 5: Solve for x
    x = 15,067,693,487.58/141,231.80
  6. Step 6: Final answer
    x = 106,687.68

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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.