Finding the Fourth Proportional to 102,893.09, 154,349.75 and 31,812.95
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Solution
The fourth proportional to 102,893.09, 154,349.75 and 31,812.95 is: 47,722.56
Step by Step Solution
- Step 1: Write the proportion equation
102,893.09 : 154,349.75 = 31,812.95 : x - Step 2: Convert to fraction form
102,893.09/154,349.75 = 31,812.95/x - Step 3: Cross multiply
102,893.09x = 154,349.75 × 31,812.95 - Step 4: Simplify right side
102,893.09x = 4,910,321,344.67 - Step 5: Solve for x
x = 4,910,321,344.67/102,893.09 - Step 6: Final answer
x = 47,722.56
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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.