Finding the Fourth Proportional to 208,215,358,246.40, 287,343,255,610.08 and 117,991,811,886.08
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Solution
The fourth proportional to 208,215,358,246.40, 287,343,255,610.08 and 117,991,811,886.08 is: 162,832,135,190.32
Step by Step Solution
- Step 1: Write the proportion equation
208,215,358,246.40 : 287,343,255,610.08 = 117,991,811,886.08 : x - Step 2: Convert to fraction form
208,215,358,246.40/287,343,255,610.08 = 117,991,811,886.08/x - Step 3: Cross multiply
208,215,358,246.40x = 287,343,255,610.08 × 117,991,811,886.08 - Step 4: Simplify right side
208,215,358,246.40x = 33,904,151,362,678,361,686,016 - Step 5: Solve for x
x = 33,904,151,362,678,361,686,016/208,215,358,246.40 - Step 6: Final answer
x = 162,832,135,190.32
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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.