Finding the Fourth Proportional to 209,670.84, 289,338.12 and 114,175.44
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Solution
The fourth proportional to 209,670.84, 289,338.12 and 114,175.44 is: 157,557.95
Step by Step Solution
- Step 1: Write the proportion equation
209,670.84 : 289,338.12 = 114,175.44 : x - Step 2: Convert to fraction form
209,670.84/289,338.12 = 114,175.44/x - Step 3: Cross multiply
209,670.84x = 289,338.12 × 114,175.44 - Step 4: Simplify right side
209,670.84x = 33,035,307,159.77 - Step 5: Solve for x
x = 33,035,307,159.77/209,670.84 - Step 6: Final answer
x = 157,557.95
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1.5x scale
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.