Finding the Fourth Proportional to 205,737.16, 284,078.34 and 157,914.76
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Solution
The fourth proportional to 205,737.16, 284,078.34 and 157,914.76 is: 218,045.99
Step by Step Solution
- Step 1: Write the proportion equation
205,737.16 : 284,078.34 = 157,914.76 : x - Step 2: Convert to fraction form
205,737.16/284,078.34 = 157,914.76/x - Step 3: Cross multiply
205,737.16x = 284,078.34 × 157,914.76 - Step 4: Simplify right side
205,737.16x = 44,860,162,882.30 - Step 5: Solve for x
x = 44,860,162,882.30/205,737.16 - Step 6: Final answer
x = 218,045.99
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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.