If a:b=5:3, b:c=10:7 and c:d = 5:7 then find a:b:c:dOptions :250 : 150 : 105 : 174250 : 105 : 150 : 147250 : 150 : 105 : 137250 : 150 : 105 : 147

To solve this problem, we need to find the ratio of a:b:c:d.

Step 1: We know that a:b = 5:3 and b:c = 10:7. To find the ratio a:b:c, we need to equate the value of 'b' in both ratios. We can do this by multiplying the first ratio by 10 and the second ratio by 3. This gives us a:b = 50:30 and b:c = 30:21. Therefore, a:b:c = 50:30:21.

Step 2: We also know that c:d = 5:7. To find the ratio a:b:c:d, we need to equate the value of 'c' in the ratio a:b:c and the ratio c:d. We can do this by multiplying the ratio a:b:c by 5 and the ratio c:d by 21. This gives us a:b:c = 250:150:105 and c:d = 105:147. Therefore, a:b:c:d = 250:150:105:147.

So, the correct option is 250 : 150 : 105 : 147.