Finding the Fourth Proportional to 71,219.38, 106,840.89 and 31,774.99
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Solution
The fourth proportional to 71,219.38, 106,840.89 and 31,774.99 is: 47,667.76
Step by Step Solution
- Step 1: Write the proportion equation
71,219.38 : 106,840.89 = 31,774.99 : x - Step 2: Convert to fraction form
71,219.38/106,840.89 = 31,774.99/x - Step 3: Cross multiply
71,219.38x = 106,840.89 × 31,774.99 - Step 4: Simplify right side
71,219.38x = 3,394,868,211.34 - Step 5: Solve for x
x = 3,394,868,211.34/71,219.38 - Step 6: Final answer
x = 47,667.76
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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.