Finding the Fourth Proportional to 146,283,015.42, 201,862,845.84 and 83,546,779.60
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Solution
The fourth proportional to 146,283,015.42, 201,862,845.84 and 83,546,779.60 is: 115,290,149.32
Step by Step Solution
- Step 1: Write the proportion equation
146,283,015.42 : 201,862,845.84 = 83,546,779.60 : x - Step 2: Convert to fraction form
146,283,015.42/201,862,845.84 = 83,546,779.60/x - Step 3: Cross multiply
146,283,015.42x = 201,862,845.84 × 83,546,779.60 - Step 4: Simplify right side
146,283,015.42x = 16,864,990,690,823,256 - Step 5: Solve for x
x = 16,864,990,690,823,256/146,283,015.42 - Step 6: Final answer
x = 115,290,149.32
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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.