Finding the Fourth Proportional to 205,144.18, 283,113.24 and 114,517.84
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Solution
The fourth proportional to 205,144.18, 283,113.24 and 114,517.84 is: 158,042.59
Step by Step Solution
- Step 1: Write the proportion equation
205,144.18 : 283,113.24 = 114,517.84 : x - Step 2: Convert to fraction form
205,144.18/283,113.24 = 114,517.84/x - Step 3: Cross multiply
205,144.18x = 283,113.24 × 114,517.84 - Step 4: Simplify right side
205,144.18x = 32,421,516,720.20 - Step 5: Solve for x
x = 32,421,516,720.20/205,144.18 - Step 6: Final answer
x = 158,042.59
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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.