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Finding the Fourth Proportional to 199,906.74, 299,675.57 and 99,979.98

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Solution

The fourth proportional to 199,906.74, 299,675.57 and 99,979.98 is: 149,877.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,906.74 : 299,675.57 = 99,979.98 : x
  2. Step 2: Convert to fraction form
    199,906.74/299,675.57 = 99,979.98/x
  3. Step 3: Cross multiply
    199,906.74x = 299,675.57 × 99,979.98
  4. Step 4: Simplify right side
    199,906.74x = 29,961,557,495.09
  5. Step 5: Solve for x
    x = 29,961,557,495.09/199,906.74
  6. Step 6: Final answer
    x = 149,877.68

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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.