Finding the Fourth Proportional to 82,749,407.70, 114,194,182.14 and 47,962,276.14
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Solution
The fourth proportional to 82,749,407.70, 114,194,182.14 and 47,962,276.14 is: 66,187,940.79
Step by Step Solution
- Step 1: Write the proportion equation
82,749,407.70 : 114,194,182.14 = 47,962,276.14 : x - Step 2: Convert to fraction form
82,749,407.70/114,194,182.14 = 47,962,276.14/x - Step 3: Cross multiply
82,749,407.70x = 114,194,182.14 × 47,962,276.14 - Step 4: Simplify right side
82,749,407.70x = 5,477,012,897,380,136 - Step 5: Solve for x
x = 5,477,012,897,380,136/82,749,407.70 - Step 6: Final answer
x = 66,187,940.79
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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.