Finding the Fourth Proportional to 81,686,723,232.84, 122,365,988,215.26 and 40,675,691,136.24
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Solution
The fourth proportional to 81,686,723,232.84, 122,365,988,215.26 and 40,675,691,136.24 is: 60,931,825,212.74
Step by Step Solution
- Step 1: Write the proportion equation
81,686,723,232.84 : 122,365,988,215.26 = 40,675,691,136.24 : x - Step 2: Convert to fraction form
81,686,723,232.84/122,365,988,215.26 = 40,675,691,136.24/x - Step 3: Cross multiply
81,686,723,232.84x = 122,365,988,215.26 × 40,675,691,136.24 - Step 4: Simplify right side
81,686,723,232.84x = 4,977,321,142,224,698,736,640 - Step 5: Solve for x
x = 4,977,321,142,224,698,736,640/81,686,723,232.84 - Step 6: Final answer
x = 60,931,825,212.74
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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.