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Finding the Fourth Proportional to 67,208.98, 100,813.70 and 19,824.65

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Solution

The fourth proportional to 67,208.98, 100,813.70 and 19,824.65 is: 29,737.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,208.98 : 100,813.70 = 19,824.65 : x
  2. Step 2: Convert to fraction form
    67,208.98/100,813.70 = 19,824.65/x
  3. Step 3: Cross multiply
    67,208.98x = 100,813.70 × 19,824.65
  4. Step 4: Simplify right side
    67,208.98x = 1,998,596,619.30
  5. Step 5: Solve for x
    x = 1,998,596,619.30/67,208.98
  6. Step 6: Final answer
    x = 29,737.05

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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.