Finding the Fourth Proportional to 189,932.40, 284,793.36 and 77,691.36
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Solution
The fourth proportional to 189,932.40, 284,793.36 and 77,691.36 is: 116,493.99
Step by Step Solution
- Step 1: Write the proportion equation
189,932.40 : 284,793.36 = 77,691.36 : x - Step 2: Convert to fraction form
189,932.40/284,793.36 = 77,691.36/x - Step 3: Cross multiply
189,932.40x = 284,793.36 × 77,691.36 - Step 4: Simplify right side
189,932.40x = 22,125,983,457.37 - Step 5: Solve for x
x = 22,125,983,457.37/189,932.40 - Step 6: Final answer
x = 116,493.99
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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.