Finding the Fourth Proportional to 189,714.42, 284,608.08 and 84,533.09
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Solution
The fourth proportional to 189,714.42, 284,608.08 and 84,533.09 is: 126,815.87
Step by Step Solution
- Step 1: Write the proportion equation
189,714.42 : 284,608.08 = 84,533.09 : x - Step 2: Convert to fraction form
189,714.42/284,608.08 = 84,533.09/x - Step 3: Cross multiply
189,714.42x = 284,608.08 × 84,533.09 - Step 4: Simplify right side
189,714.42x = 24,058,799,018.33 - Step 5: Solve for x
x = 24,058,799,018.33/189,714.42 - Step 6: Final answer
x = 126,815.87
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.