Finding the Fourth Proportional to 205,523.86, 283,636.16 and 114,880.14
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Solution
The fourth proportional to 205,523.86, 283,636.16 and 114,880.14 is: 158,541.99
Step by Step Solution
- Step 1: Write the proportion equation
205,523.86 : 283,636.16 = 114,880.14 : x - Step 2: Convert to fraction form
205,523.86/283,636.16 = 114,880.14/x - Step 3: Cross multiply
205,523.86x = 283,636.16 × 114,880.14 - Step 4: Simplify right side
205,523.86x = 32,584,161,769.86 - Step 5: Solve for x
x = 32,584,161,769.86/205,523.86 - Step 6: Final answer
x = 158,541.99
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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.