Finding the Fourth Proportional to 205,122.66, 307,683.99 and 163,832.10
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Solution
The fourth proportional to 205,122.66, 307,683.99 and 163,832.10 is: 245,748.15
Step by Step Solution
- Step 1: Write the proportion equation
205,122.66 : 307,683.99 = 163,832.10 : x - Step 2: Convert to fraction form
205,122.66/307,683.99 = 163,832.10/x - Step 3: Cross multiply
205,122.66x = 307,683.99 × 163,832.10 - Step 4: Simplify right side
205,122.66x = 50,408,514,218.08 - Step 5: Solve for x
x = 50,408,514,218.08/205,122.66 - Step 6: Final answer
x = 245,748.15
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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.