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Finding the Fourth Proportional to 199,813.25, 299,525.06 and 79,834.43

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Solution

The fourth proportional to 199,813.25, 299,525.06 and 79,834.43 is: 119,673.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,813.25 : 299,525.06 = 79,834.43 : x
  2. Step 2: Convert to fraction form
    199,813.25/299,525.06 = 79,834.43/x
  3. Step 3: Cross multiply
    199,813.25x = 299,525.06 × 79,834.43
  4. Step 4: Simplify right side
    199,813.25x = 23,912,411,137.78
  5. Step 5: Solve for x
    x = 23,912,411,137.78/199,813.25
  6. Step 6: Final answer
    x = 119,673.80

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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.