Finding the Fourth Proportional to 209,805.42, 314,334.98 and 120,875.18
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Solution
The fourth proportional to 209,805.42, 314,334.98 and 120,875.18 is: 181,097.78
Step by Step Solution
- Step 1: Write the proportion equation
209,805.42 : 314,334.98 = 120,875.18 : x - Step 2: Convert to fraction form
209,805.42/314,334.98 = 120,875.18/x - Step 3: Cross multiply
209,805.42x = 314,334.98 × 120,875.18 - Step 4: Simplify right side
209,805.42x = 37,995,295,111.75 - Step 5: Solve for x
x = 37,995,295,111.75/209,805.42 - Step 6: Final answer
x = 181,097.78
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.