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Finding the Fourth Proportional to 143,067.99, 197,454.40 and 85,709.76

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Solution

The fourth proportional to 143,067.99, 197,454.40 and 85,709.76 is: 118,291.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,067.99 : 197,454.40 = 85,709.76 : x
  2. Step 2: Convert to fraction form
    143,067.99/197,454.40 = 85,709.76/x
  3. Step 3: Cross multiply
    143,067.99x = 197,454.40 × 85,709.76
  4. Step 4: Simplify right side
    143,067.99x = 16,923,769,234.94
  5. Step 5: Solve for x
    x = 16,923,769,234.94/143,067.99
  6. Step 6: Final answer
    x = 118,291.79

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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.