Finding the Fourth Proportional to 81,688.20, 122,539.86 and 31,772.09
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Solution
The fourth proportional to 81,688.20, 122,539.86 and 31,772.09 is: 47,661.07
Step by Step Solution
- Step 1: Write the proportion equation
81,688.20 : 122,539.86 = 31,772.09 : x - Step 2: Convert to fraction form
81,688.20/122,539.86 = 31,772.09/x - Step 3: Cross multiply
81,688.20x = 122,539.86 × 31,772.09 - Step 4: Simplify right side
81,688.20x = 3,893,347,166.93 - Step 5: Solve for x
x = 3,893,347,166.93/81,688.20 - Step 6: Final answer
x = 47,661.07
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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.