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Finding the Fourth Proportional to 199,633.21, 299,200.61 and 99,821.95

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Solution

The fourth proportional to 199,633.21, 299,200.61 and 99,821.95 is: 149,608.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,633.21 : 299,200.61 = 99,821.95 : x
  2. Step 2: Convert to fraction form
    199,633.21/299,200.61 = 99,821.95/x
  3. Step 3: Cross multiply
    199,633.21x = 299,200.61 × 99,821.95
  4. Step 4: Simplify right side
    199,633.21x = 29,866,787,832.94
  5. Step 5: Solve for x
    x = 29,866,787,832.94/199,633.21
  6. Step 6: Final answer
    x = 149,608.32

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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.