Finding the Fourth Proportional to 189,416.10, 284,124.57 and 77,016.99
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Solution
The fourth proportional to 189,416.10, 284,124.57 and 77,016.99 is: 115,525.66
Step by Step Solution
- Step 1: Write the proportion equation
189,416.10 : 284,124.57 = 77,016.99 : x - Step 2: Convert to fraction form
189,416.10/284,124.57 = 77,016.99/x - Step 3: Cross multiply
189,416.10x = 284,124.57 × 77,016.99 - Step 4: Simplify right side
189,416.10x = 21,882,419,166.44 - Step 5: Solve for x
x = 21,882,419,166.44/189,416.10 - Step 6: Final answer
x = 115,525.66
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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.