Finding the Fourth Proportional to 97,235.13, 145,852.69 and 31,571.13
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Solution
The fourth proportional to 97,235.13, 145,852.69 and 31,571.13 is: 47,356.69
Step by Step Solution
- Step 1: Write the proportion equation
97,235.13 : 145,852.69 = 31,571.13 : x - Step 2: Convert to fraction form
97,235.13/145,852.69 = 31,571.13/x - Step 3: Cross multiply
97,235.13x = 145,852.69 × 31,571.13 - Step 4: Simplify right side
97,235.13x = 4,604,733,428.65 - Step 5: Solve for x
x = 4,604,733,428.65/97,235.13 - Step 6: Final answer
x = 47,356.69
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1.5x scale
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.