Question
Download Solution PDFFind the ratio between the fourth proportional of 42, 56, 63 and the fourth proportional of 189, 273, and 153.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
Numbers for first set: 42, 56, 63
Numbers for second set: 189, 273, 153
Formula used:
If a, b, c are given, then the fourth proportional d is calculated as:
d = (b × c) / a
Calculation:
Fourth proportional for the first set (42, 56, 63):
d1 = (56 × 63) / 42
⇒ d1 = (56 × 63) / 42
⇒ d1 = 3528 / 42
⇒ d1 = 84
Fourth proportional for the second set (189, 273, 153):
d2 = (273 × 153) / 189
⇒ d2 = (273 × 153) / 189
⇒ d2 = 41769 / 189
⇒ d2 = 221
Ratio between d1 and d2:
Ratio = d1 : d2
⇒ Ratio = 84 : 221
∴ The correct answer is option (4).
Last updated on Jun 3, 2025
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