114.3:122.3:135::155.97 are they in poportion
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Answer:
NO
Step-by-step explanation:
Given the four proportional numbers 12:22::42:72
Let x
be the number added to each of these numbers, so the new numbers become
First number =12+x
Second number =22+x
Third number =42+x
Fourth number =72+x
Now after adding an unknown numbers, since the resulting numbers need to be in proportion so we can write these numbers as
12+x:22+x::42+x:72+x
Now we know the means and extremes property of proportionality where the product of extremes is equal to the product of mean, hence we can write
(12+x)×(72+x)=(22+x)×(42+x)
Now by solving this
⇒12×72+12x+72x+x2=22×42+22x+42x+x2⇒864+84x=924+64x⇒84x−64x=924−864⇒20x=60⇒x=3
Therefore we get the value of x=3
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