Finding the Fourth Proportional to 209,396.13, 288,968.91 and 113,903.07
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Solution
The fourth proportional to 209,396.13, 288,968.91 and 113,903.07 is: 157,187.46
Step by Step Solution
- Step 1: Write the proportion equation
209,396.13 : 288,968.91 = 113,903.07 : x - Step 2: Convert to fraction form
209,396.13/288,968.91 = 113,903.07/x - Step 3: Cross multiply
209,396.13x = 288,968.91 × 113,903.07 - Step 4: Simplify right side
209,396.13x = 32,914,445,983.55 - Step 5: Solve for x
x = 32,914,445,983.55/209,396.13 - Step 6: Final answer
x = 157,187.46
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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.