Finding the Fourth Proportional to 92.13, 137.98 and 78.49
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Solution
The fourth proportional to 92.13, 137.98 and 78.49 is: 117.55
Step by Step Solution
- Step 1: Write the proportion equation
92.13 : 137.98 = 78.49 : x - Step 2: Convert to fraction form
92.13/137.98 = 78.49/x - Step 3: Cross multiply
92.13x = 137.98 × 78.49 - Step 4: Simplify right side
92.13x = 10,830.05 - Step 5: Solve for x
x = 10,830.05/92.13 - Step 6: Final answer
x = 117.55
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.