Finding the Fourth Proportional to 144,532,420,243.63, 199,460,122,782.21 and 86,670,220,592.99
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Solution
The fourth proportional to 144,532,420,243.63, 199,460,122,782.21 and 86,670,220,592.99 is: 119,608,132,292.39
Step by Step Solution
- Step 1: Write the proportion equation
144,532,420,243.63 : 199,460,122,782.21 = 86,670,220,592.99 : x - Step 2: Convert to fraction form
144,532,420,243.63/199,460,122,782.21 = 86,670,220,592.99/x - Step 3: Cross multiply
144,532,420,243.63x = 199,460,122,782.21 × 86,670,220,592.99 - Step 4: Simplify right side
144,532,420,243.63x = 17,287,252,841,039,608,676,352 - Step 5: Solve for x
x = 17,287,252,841,039,608,676,352/144,532,420,243.63 - Step 6: Final answer
x = 119,608,132,292.39
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.