Finding the Fourth Proportional to 106,468.31, 159,696.99 and 31,589.07
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Solution
The fourth proportional to 106,468.31, 159,696.99 and 31,589.07 is: 47,381.98
Step by Step Solution
- Step 1: Write the proportion equation
106,468.31 : 159,696.99 = 31,589.07 : x - Step 2: Convert to fraction form
106,468.31/159,696.99 = 31,589.07/x - Step 3: Cross multiply
106,468.31x = 159,696.99 × 31,589.07 - Step 4: Simplify right side
106,468.31x = 5,044,679,395.90 - Step 5: Solve for x
x = 5,044,679,395.90/106,468.31 - Step 6: Final answer
x = 47,381.98
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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.