Finding the Fourth Proportional to 128,115,173,360.32, 192,204,768,527.52 and 90,415,358,203.84
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Solution
The fourth proportional to 128,115,173,360.32, 192,204,768,527.52 and 90,415,358,203.84 is: 135,645,626,814.45
Step by Step Solution
- Step 1: Write the proportion equation
128,115,173,360.32 : 192,204,768,527.52 = 90,415,358,203.84 : x - Step 2: Convert to fraction form
128,115,173,360.32/192,204,768,527.52 = 90,415,358,203.84/x - Step 3: Cross multiply
128,115,173,360.32x = 192,204,768,527.52 × 90,415,358,203.84 - Step 4: Simplify right side
128,115,173,360.32x = 17,378,262,994,901,872,410,624 - Step 5: Solve for x
x = 17,378,262,994,901,872,410,624/128,115,173,360.32 - Step 6: Final answer
x = 135,645,626,814.45
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.