Finding the Fourth Proportional to 199,202.09, 274,898.84 and 109,778.09
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Solution
The fourth proportional to 199,202.09, 274,898.84 and 109,778.09 is: 151,493.73
Step by Step Solution
- Step 1: Write the proportion equation
199,202.09 : 274,898.84 = 109,778.09 : x - Step 2: Convert to fraction form
199,202.09/274,898.84 = 109,778.09/x - Step 3: Cross multiply
199,202.09x = 274,898.84 × 109,778.09 - Step 4: Simplify right side
199,202.09x = 30,177,867,675.03 - Step 5: Solve for x
x = 30,177,867,675.03/199,202.09 - Step 6: Final answer
x = 151,493.73
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.