Finding the Fourth Proportional to 205,920,427.75, 284,175,739.64 and 121,153,463.67
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Solution
The fourth proportional to 205,920,427.75, 284,175,739.64 and 121,153,463.67 is: 167,195,044.83
Step by Step Solution
- Step 1: Write the proportion equation
205,920,427.75 : 284,175,739.64 = 121,153,463.67 : x - Step 2: Convert to fraction form
205,920,427.75/284,175,739.64 = 121,153,463.67/x - Step 3: Cross multiply
205,920,427.75x = 284,175,739.64 × 121,153,463.67 - Step 4: Simplify right side
205,920,427.75x = 34,428,875,148,370,116 - Step 5: Solve for x
x = 34,428,875,148,370,116/205,920,427.75 - Step 6: Final answer
x = 167,195,044.83
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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.