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Finding the Fourth Proportional to 79,847.64, 119,782.40 and 27,243

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Solution

The fourth proportional to 79,847.64, 119,782.40 and 27,243 is: 40,868.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,847.64 : 119,782.40 = 27,243 : x
  2. Step 2: Convert to fraction form
    79,847.64/119,782.40 = 27,243/x
  3. Step 3: Cross multiply
    79,847.64x = 119,782.40 × 27,243
  4. Step 4: Simplify right side
    79,847.64x = 3,263,231,786.99
  5. Step 5: Solve for x
    x = 3,263,231,786.99/79,847.64
  6. Step 6: Final answer
    x = 40,868.23

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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.