Finding the Fourth Proportional to 205,955.88, 284,205.36 and 115,296.54
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Solution
The fourth proportional to 205,955.88, 284,205.36 and 115,296.54 is: 159,101.53
Step by Step Solution
- Step 1: Write the proportion equation
205,955.88 : 284,205.36 = 115,296.54 : x - Step 2: Convert to fraction form
205,955.88/284,205.36 = 115,296.54/x - Step 3: Cross multiply
205,955.88x = 284,205.36 × 115,296.54 - Step 4: Simplify right side
205,955.88x = 32,767,894,657.45 - Step 5: Solve for x
x = 32,767,894,657.45/205,955.88 - Step 6: Final answer
x = 159,101.53
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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.