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Finding the Fourth Proportional to 80,067.51, 119,984.58 and 54,678.87

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Solution

The fourth proportional to 80,067.51, 119,984.58 and 54,678.87 is: 81,938.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,067.51 : 119,984.58 = 54,678.87 : x
  2. Step 2: Convert to fraction form
    80,067.51/119,984.58 = 54,678.87/x
  3. Step 3: Cross multiply
    80,067.51x = 119,984.58 × 54,678.87
  4. Step 4: Simplify right side
    80,067.51x = 6,560,621,251.82
  5. Step 5: Solve for x
    x = 6,560,621,251.82/80,067.51
  6. Step 6: Final answer
    x = 81,938.62

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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.