Finding the Fourth Proportional to 256,971,319,072.77, 354,628,924,860.05 and 141,232,181,138.17
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Solution
The fourth proportional to 256,971,319,072.77, 354,628,924,860.05 and 141,232,181,138.17 is: 194,905,084,090.28
Step by Step Solution
- Step 1: Write the proportion equation
256,971,319,072.77 : 354,628,924,860.05 = 141,232,181,138.17 : x - Step 2: Convert to fraction form
256,971,319,072.77/354,628,924,860.05 = 141,232,181,138.17/x - Step 3: Cross multiply
256,971,319,072.77x = 354,628,924,860.05 × 141,232,181,138.17 - Step 4: Simplify right side
256,971,319,072.77x = 50,085,016,552,669,062,365,184 - Step 5: Solve for x
x = 50,085,016,552,669,062,365,184/256,971,319,072.77 - Step 6: Final answer
x = 194,905,084,090.28
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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.