Finding the Fourth Proportional to 205,442.36, 307,739.09 and 120,942.14
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Solution
The fourth proportional to 205,442.36, 307,739.09 and 120,942.14 is: 181,163.34
Step by Step Solution
- Step 1: Write the proportion equation
205,442.36 : 307,739.09 = 120,942.14 : x - Step 2: Convert to fraction form
205,442.36/307,739.09 = 120,942.14/x - Step 3: Cross multiply
205,442.36x = 307,739.09 × 120,942.14 - Step 4: Simplify right side
205,442.36x = 37,218,624,106.25 - Step 5: Solve for x
x = 37,218,624,106.25/205,442.36 - Step 6: Final answer
x = 181,163.34
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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.