Finding the Fourth Proportional to 205,408.31, 283,435.27 and 114,752.99
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Solution
The fourth proportional to 205,408.31, 283,435.27 and 114,752.99 is: 158,343.38
Step by Step Solution
- Step 1: Write the proportion equation
205,408.31 : 283,435.27 = 114,752.99 : x - Step 2: Convert to fraction form
205,408.31/283,435.27 = 114,752.99/x - Step 3: Cross multiply
205,408.31x = 283,435.27 × 114,752.99 - Step 4: Simplify right side
205,408.31x = 32,525,045,125.66 - Step 5: Solve for x
x = 32,525,045,125.66/205,408.31 - Step 6: Final answer
x = 158,343.38
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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.