Finding the Fourth Proportional to 102,829.24, 154,147.74 and 36,232.12
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Solution
The fourth proportional to 102,829.24, 154,147.74 and 36,232.12 is: 54,314.31
Step by Step Solution
- Step 1: Write the proportion equation
102,829.24 : 154,147.74 = 36,232.12 : x - Step 2: Convert to fraction form
102,829.24/154,147.74 = 36,232.12/x - Step 3: Cross multiply
102,829.24x = 154,147.74 × 36,232.12 - Step 4: Simplify right side
102,829.24x = 5,585,099,413.41 - Step 5: Solve for x
x = 5,585,099,413.41/102,829.24 - Step 6: Final answer
x = 54,314.31
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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.