Finding the Fourth Proportional to 102,578.94, 153,852.99 and 32,449.14
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Solution
The fourth proportional to 102,578.94, 153,852.99 and 32,449.14 is: 48,668.83
Step by Step Solution
- Step 1: Write the proportion equation
102,578.94 : 153,852.99 = 32,449.14 : x - Step 2: Convert to fraction form
102,578.94/153,852.99 = 32,449.14/x - Step 3: Cross multiply
102,578.94x = 153,852.99 × 32,449.14 - Step 4: Simplify right side
102,578.94x = 4,992,397,211.93 - Step 5: Solve for x
x = 4,992,397,211.93/102,578.94 - Step 6: Final answer
x = 48,668.83
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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.