Finding the Fourth Proportional to 189,193.18, 283,755.74 and 48,943.30
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Solution
The fourth proportional to 189,193.18, 283,755.74 and 48,943.30 is: 73,406.15
Step by Step Solution
- Step 1: Write the proportion equation
189,193.18 : 283,755.74 = 48,943.30 : x - Step 2: Convert to fraction form
189,193.18/283,755.74 = 48,943.30/x - Step 3: Cross multiply
189,193.18x = 283,755.74 × 48,943.30 - Step 4: Simplify right side
189,193.18x = 13,887,942,309.54 - Step 5: Solve for x
x = 13,887,942,309.54/189,193.18 - Step 6: Final answer
x = 73,406.15
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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.