Finding the Fourth Proportional to 209,649.36, 289,323.36 and 114,157.68
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Solution
The fourth proportional to 209,649.36, 289,323.36 and 114,157.68 is: 157,541.54
Step by Step Solution
- Step 1: Write the proportion equation
209,649.36 : 289,323.36 = 114,157.68 : x - Step 2: Convert to fraction form
209,649.36/289,323.36 = 114,157.68/x - Step 3: Cross multiply
209,649.36x = 289,323.36 × 114,157.68 - Step 4: Simplify right side
209,649.36x = 33,028,483,547.40 - Step 5: Solve for x
x = 33,028,483,547.40/209,649.36 - Step 6: Final answer
x = 157,541.54
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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.