Finding the Fourth Proportional to 82,370,268.42, 113,642,815.66 and 47,062,740.02
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Solution
The fourth proportional to 82,370,268.42, 113,642,815.66 and 47,062,740.02 is: 64,930,494.84
Step by Step Solution
- Step 1: Write the proportion equation
82,370,268.42 : 113,642,815.66 = 47,062,740.02 : x - Step 2: Convert to fraction form
82,370,268.42/113,642,815.66 = 47,062,740.02/x - Step 3: Cross multiply
82,370,268.42x = 113,642,815.66 × 47,062,740.02 - Step 4: Simplify right side
82,370,268.42x = 5,348,342,287,979,151 - Step 5: Solve for x
x = 5,348,342,287,979,151/82,370,268.42 - Step 6: Final answer
x = 64,930,494.84
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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.