Finding the Fourth Proportional to 205,963.88, 284,235.41 and 115,338.98
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Solution
The fourth proportional to 205,963.88, 284,235.41 and 115,338.98 is: 159,170.74
Step by Step Solution
- Step 1: Write the proportion equation
205,963.88 : 284,235.41 = 115,338.98 : x - Step 2: Convert to fraction form
205,963.88/284,235.41 = 115,338.98/x - Step 3: Cross multiply
205,963.88x = 284,235.41 × 115,338.98 - Step 4: Simplify right side
205,963.88x = 32,783,423,268.22 - Step 5: Solve for x
x = 32,783,423,268.22/205,963.88 - Step 6: Final answer
x = 159,170.74
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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.