Finding the Fourth Proportional to 81.38, 122.08 and 47.07
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Solution
The fourth proportional to 81.38, 122.08 and 47.07 is: 70.61
Step by Step Solution
- Step 1: Write the proportion equation
81.38 : 122.08 = 47.07 : x - Step 2: Convert to fraction form
81.38/122.08 = 47.07/x - Step 3: Cross multiply
81.38x = 122.08 × 47.07 - Step 4: Simplify right side
81.38x = 5,746.31 - Step 5: Solve for x
x = 5,746.31/81.38 - Step 6: Final answer
x = 70.61
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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.