Finding the Fourth Proportional to 106,715.12, 160,070.84 and 31,835.48
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Solution
The fourth proportional to 106,715.12, 160,070.84 and 31,835.48 is: 47,752.66
Step by Step Solution
- Step 1: Write the proportion equation
106,715.12 : 160,070.84 = 31,835.48 : x - Step 2: Convert to fraction form
106,715.12/160,070.84 = 31,835.48/x - Step 3: Cross multiply
106,715.12x = 160,070.84 × 31,835.48 - Step 4: Simplify right side
106,715.12x = 5,095,931,065.87 - Step 5: Solve for x
x = 5,095,931,065.87/106,715.12 - Step 6: Final answer
x = 47,752.66
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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.