Finding the Fourth Proportional to 205,838.61, 284,051.18 and 113,961.99
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Solution
The fourth proportional to 205,838.61, 284,051.18 and 113,961.99 is: 157,264.16
Step by Step Solution
- Step 1: Write the proportion equation
205,838.61 : 284,051.18 = 113,961.99 : x - Step 2: Convert to fraction form
205,838.61/284,051.18 = 113,961.99/x - Step 3: Cross multiply
205,838.61x = 284,051.18 × 113,961.99 - Step 4: Simplify right side
205,838.61x = 32,371,036,099.65 - Step 5: Solve for x
x = 32,371,036,099.65/205,838.61 - Step 6: Final answer
x = 157,264.16
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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.