Finding the Fourth Proportional to 205,403.62, 283,455.07 and 114,775.20
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Solution
The fourth proportional to 205,403.62, 283,455.07 and 114,775.20 is: 158,388.70
Step by Step Solution
- Step 1: Write the proportion equation
205,403.62 : 283,455.07 = 114,775.20 : x - Step 2: Convert to fraction form
205,403.62/283,455.07 = 114,775.20/x - Step 3: Cross multiply
205,403.62x = 283,455.07 × 114,775.20 - Step 4: Simplify right side
205,403.62x = 32,533,612,350.26 - Step 5: Solve for x
x = 32,533,612,350.26/205,403.62 - Step 6: Final answer
x = 158,388.70
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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.