Finding the Fourth Proportional to 200,811.96, 301,115.07 and 106,092.99
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Solution
The fourth proportional to 200,811.96, 301,115.07 and 106,092.99 is: 159,085.14
Step by Step Solution
- Step 1: Write the proportion equation
200,811.96 : 301,115.07 = 106,092.99 : x - Step 2: Convert to fraction form
200,811.96/301,115.07 = 106,092.99/x - Step 3: Cross multiply
200,811.96x = 301,115.07 × 106,092.99 - Step 4: Simplify right side
200,811.96x = 31,946,198,110.36 - Step 5: Solve for x
x = 31,946,198,110.36/200,811.96 - Step 6: Final answer
x = 159,085.14
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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.