Finding the Fourth Proportional to 192,728,489,304.58, 265,971,693,645.04 and 105,924,135,853.63
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Solution
The fourth proportional to 192,728,489,304.58, 265,971,693,645.04 and 105,924,135,853.63 is: 146,178,813,067.72
Step by Step Solution
- Step 1: Write the proportion equation
192,728,489,304.58 : 265,971,693,645.04 = 105,924,135,853.63 : x - Step 2: Convert to fraction form
192,728,489,304.58/265,971,693,645.04 = 105,924,135,853.63/x - Step 3: Cross multiply
192,728,489,304.58x = 265,971,693,645.04 × 105,924,135,853.63 - Step 4: Simplify right side
192,728,489,304.58x = 28,172,821,810,877,279,764,480 - Step 5: Solve for x
x = 28,172,821,810,877,279,764,480/192,728,489,304.58 - Step 6: Final answer
x = 146,178,813,067.72
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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.