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Finding the Fourth Proportional to 199,828.70, 299,715.69 and 66,705.92

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Solution

The fourth proportional to 199,828.70, 299,715.69 and 66,705.92 is: 100,049.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,828.70 : 299,715.69 = 66,705.92 : x
  2. Step 2: Convert to fraction form
    199,828.70/299,715.69 = 66,705.92/x
  3. Step 3: Cross multiply
    199,828.70x = 299,715.69 × 66,705.92
  4. Step 4: Simplify right side
    199,828.70x = 19,992,810,839.88
  5. Step 5: Solve for x
    x = 19,992,810,839.88/199,828.70
  6. Step 6: Final answer
    x = 100,049.75

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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.