Finding the Fourth Proportional to 192,728,489,311.30, 265,971,693,654.30 and 105,924,135,860.32
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Solution
The fourth proportional to 192,728,489,311.30, 265,971,693,654.30 and 105,924,135,860.32 is: 146,178,813,076.94
Step by Step Solution
- Step 1: Write the proportion equation
192,728,489,311.30 : 265,971,693,654.30 = 105,924,135,860.32 : x - Step 2: Convert to fraction form
192,728,489,311.30/265,971,693,654.30 = 105,924,135,860.32/x - Step 3: Cross multiply
192,728,489,311.30x = 265,971,693,654.30 × 105,924,135,860.32 - Step 4: Simplify right side
192,728,489,311.30x = 28,172,821,813,637,484,118,016 - Step 5: Solve for x
x = 28,172,821,813,637,484,118,016/192,728,489,311.30 - Step 6: Final answer
x = 146,178,813,076.94
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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.