Finding the Fourth Proportional to 205,928.08, 284,186.16 and 115,283.65
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Solution
The fourth proportional to 205,928.08, 284,186.16 and 115,283.65 is: 159,094.47
Step by Step Solution
- Step 1: Write the proportion equation
205,928.08 : 284,186.16 = 115,283.65 : x - Step 2: Convert to fraction form
205,928.08/284,186.16 = 115,283.65/x - Step 3: Cross multiply
205,928.08x = 284,186.16 × 115,283.65 - Step 4: Simplify right side
205,928.08x = 32,762,017,804.28 - Step 5: Solve for x
x = 32,762,017,804.28/205,928.08 - Step 6: Final answer
x = 159,094.47
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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.