Finding the Fourth Proportional to 102,193.06, 153,312.66 and 31,122.06
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Solution
The fourth proportional to 102,193.06, 153,312.66 and 31,122.06 is: 46,690.12
Step by Step Solution
- Step 1: Write the proportion equation
102,193.06 : 153,312.66 = 31,122.06 : x - Step 2: Convert to fraction form
102,193.06/153,312.66 = 31,122.06/x - Step 3: Cross multiply
102,193.06x = 153,312.66 × 31,122.06 - Step 4: Simplify right side
102,193.06x = 4,771,405,803.28 - Step 5: Solve for x
x = 4,771,405,803.28/102,193.06 - Step 6: Final answer
x = 46,690.12
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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.