Finding the Fourth Proportional to 205,934.58, 284,176.35 and 115,289.79
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Solution
The fourth proportional to 205,934.58, 284,176.35 and 115,289.79 is: 159,092.42
Step by Step Solution
- Step 1: Write the proportion equation
205,934.58 : 284,176.35 = 115,289.79 : x - Step 2: Convert to fraction form
205,934.58/284,176.35 = 115,289.79/x - Step 3: Cross multiply
205,934.58x = 284,176.35 × 115,289.79 - Step 4: Simplify right side
205,934.58x = 32,762,631,714.47 - Step 5: Solve for x
x = 32,762,631,714.47/205,934.58 - Step 6: Final answer
x = 159,092.42
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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.