Finding the Fourth Proportional to 102,083.98, 153,115.99 and 31,007.23
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Solution
The fourth proportional to 102,083.98, 153,115.99 and 31,007.23 is: 46,507.81
Step by Step Solution
- Step 1: Write the proportion equation
102,083.98 : 153,115.99 = 31,007.23 : x - Step 2: Convert to fraction form
102,083.98/153,115.99 = 31,007.23/x - Step 3: Cross multiply
102,083.98x = 153,115.99 × 31,007.23 - Step 4: Simplify right side
102,083.98x = 4,747,702,563.57 - Step 5: Solve for x
x = 4,747,702,563.57/102,083.98 - Step 6: Final answer
x = 46,507.81
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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.