Finding the Fourth Proportional to 102,802.26, 154,204.14 and 36,243.66
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Solution
The fourth proportional to 102,802.26, 154,204.14 and 36,243.66 is: 54,365.75
Step by Step Solution
- Step 1: Write the proportion equation
102,802.26 : 154,204.14 = 36,243.66 : x - Step 2: Convert to fraction form
102,802.26/154,204.14 = 36,243.66/x - Step 3: Cross multiply
102,802.26x = 154,204.14 × 36,243.66 - Step 4: Simplify right side
102,802.26x = 5,588,922,420.75 - Step 5: Solve for x
x = 5,588,922,420.75/102,802.26 - Step 6: Final answer
x = 54,365.75
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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.