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Finding the Fourth Proportional to 67,208.84, 100,798.20 and 19,813.80

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Solution

The fourth proportional to 67,208.84, 100,798.20 and 19,813.80 is: 29,716.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,208.84 : 100,798.20 = 19,813.80 : x
  2. Step 2: Convert to fraction form
    67,208.84/100,798.20 = 19,813.80/x
  3. Step 3: Cross multiply
    67,208.84x = 100,798.20 × 19,813.80
  4. Step 4: Simplify right side
    67,208.84x = 1,997,195,375.16
  5. Step 5: Solve for x
    x = 1,997,195,375.16/67,208.84
  6. Step 6: Final answer
    x = 29,716.26

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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.