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Finding the Fourth Proportional to 199,933.64, 299,900.47 and 66,813.90

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Solution

The fourth proportional to 199,933.64, 299,900.47 and 66,813.90 is: 100,220.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,933.64 : 299,900.47 = 66,813.90 : x
  2. Step 2: Convert to fraction form
    199,933.64/299,900.47 = 66,813.90/x
  3. Step 3: Cross multiply
    199,933.64x = 299,900.47 × 66,813.90
  4. Step 4: Simplify right side
    199,933.64x = 20,037,519,852.97
  5. Step 5: Solve for x
    x = 20,037,519,852.97/199,933.64
  6. Step 6: Final answer
    x = 100,220.85

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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.