Finding the Fourth Proportional to 206,543,305.35, 285,036,756.84 and 112,461,101.06
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Solution
The fourth proportional to 206,543,305.35, 285,036,756.84 and 112,461,101.06 is: 155,200,128.42
Step by Step Solution
- Step 1: Write the proportion equation
206,543,305.35 : 285,036,756.84 = 112,461,101.06 : x - Step 2: Convert to fraction form
206,543,305.35/285,036,756.84 = 112,461,101.06/x - Step 3: Cross multiply
206,543,305.35x = 285,036,756.84 × 112,461,101.06 - Step 4: Simplify right side
206,543,305.35x = 32,055,547,515,372,700 - Step 5: Solve for x
x = 32,055,547,515,372,700/206,543,305.35 - Step 6: Final answer
x = 155,200,128.42
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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.