Finding the Fourth Proportional to 205,179.92, 283,276.36 and 157,341.20
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Solution
The fourth proportional to 205,179.92, 283,276.36 and 157,341.20 is: 217,229.07
Step by Step Solution
- Step 1: Write the proportion equation
205,179.92 : 283,276.36 = 157,341.20 : x - Step 2: Convert to fraction form
205,179.92/283,276.36 = 157,341.20/x - Step 3: Cross multiply
205,179.92x = 283,276.36 × 157,341.20 - Step 4: Simplify right side
205,179.92x = 44,571,042,414.03 - Step 5: Solve for x
x = 44,571,042,414.03/205,179.92 - Step 6: Final answer
x = 217,229.07
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.