Finding the Fourth Proportional to 105,539,236,485.94, 145,660,066,748.01 and 64,363,504,430.18
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Solution
The fourth proportional to 105,539,236,485.94, 145,660,066,748.01 and 64,363,504,430.18 is: 88,831,345,228.51
Step by Step Solution
- Step 1: Write the proportion equation
105,539,236,485.94 : 145,660,066,748.01 = 64,363,504,430.18 : x - Step 2: Convert to fraction form
105,539,236,485.94/145,660,066,748.01 = 64,363,504,430.18/x - Step 3: Cross multiply
105,539,236,485.94x = 145,660,066,748.01 × 64,363,504,430.18 - Step 4: Simplify right side
105,539,236,485.94x = 9,375,192,351,435,856,543,744 - Step 5: Solve for x
x = 9,375,192,351,435,856,543,744/105,539,236,485.94 - Step 6: Final answer
x = 88,831,345,228.51
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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.