Finding the Fourth Proportional to 82,378,221.41, 113,674,432.12 and 48,881,928.80
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Solution
The fourth proportional to 82,378,221.41, 113,674,432.12 and 48,881,928.80 is: 67,452,603.40
Step by Step Solution
- Step 1: Write the proportion equation
82,378,221.41 : 113,674,432.12 = 48,881,928.80 : x - Step 2: Convert to fraction form
82,378,221.41/113,674,432.12 = 48,881,928.80/x - Step 3: Cross multiply
82,378,221.41x = 113,674,432.12 × 48,881,928.80 - Step 4: Simplify right side
82,378,221.41x = 5,556,625,497,432,255 - Step 5: Solve for x
x = 5,556,625,497,432,255/82,378,221.41 - Step 6: Final answer
x = 67,452,603.40
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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.