Finding the Fourth Proportional to 155,476,157,440.80, 214,557,890,672.16 and 86,888,715,293.28
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Solution
The fourth proportional to 155,476,157,440.80, 214,557,890,672.16 and 86,888,715,293.28 is: 119,906,870,502.88
Step by Step Solution
- Step 1: Write the proportion equation
155,476,157,440.80 : 214,557,890,672.16 = 86,888,715,293.28 : x - Step 2: Convert to fraction form
155,476,157,440.80/214,557,890,672.16 = 86,888,715,293.28/x - Step 3: Cross multiply
155,476,157,440.80x = 214,557,890,672.16 × 86,888,715,293.28 - Step 4: Simplify right side
155,476,157,440.80x = 18,642,659,476,540,007,383,040 - Step 5: Solve for x
x = 18,642,659,476,540,007,383,040/155,476,157,440.80 - Step 6: Final answer
x = 119,906,870,502.88
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1.5x scale
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.