Finding the Fourth Proportional to 203,142.24, 304,909.92 and 98,035.20
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Solution
The fourth proportional to 203,142.24, 304,909.92 and 98,035.20 is: 147,147.66
Step by Step Solution
- Step 1: Write the proportion equation
203,142.24 : 304,909.92 = 98,035.20 : x - Step 2: Convert to fraction form
203,142.24/304,909.92 = 98,035.20/x - Step 3: Cross multiply
203,142.24x = 304,909.92 × 98,035.20 - Step 4: Simplify right side
203,142.24x = 29,891,904,989.18 - Step 5: Solve for x
x = 29,891,904,989.18/203,142.24 - Step 6: Final answer
x = 147,147.66
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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.