Finding the Fourth Proportional to 209,254.75, 313,688.49 and 76,099.26
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Solution
The fourth proportional to 209,254.75, 313,688.49 and 76,099.26 is: 114,078.47
Step by Step Solution
- Step 1: Write the proportion equation
209,254.75 : 313,688.49 = 76,099.26 : x - Step 2: Convert to fraction form
209,254.75/313,688.49 = 76,099.26/x - Step 3: Cross multiply
209,254.75x = 313,688.49 × 76,099.26 - Step 4: Simplify right side
209,254.75x = 23,871,460,985.05 - Step 5: Solve for x
x = 23,871,460,985.05/209,254.75 - Step 6: Final answer
x = 114,078.47
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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.