Finding the Fourth Proportional to 142,003,055,480.08, 195,970,376,554.11 and 78,638,282,168.08
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Solution
The fourth proportional to 142,003,055,480.08, 195,970,376,554.11 and 78,638,282,168.08 is: 108,524,240,664.73
Step by Step Solution
- Step 1: Write the proportion equation
142,003,055,480.08 : 195,970,376,554.11 = 78,638,282,168.08 : x - Step 2: Convert to fraction form
142,003,055,480.08/195,970,376,554.11 = 78,638,282,168.08/x - Step 3: Cross multiply
142,003,055,480.08x = 195,970,376,554.11 × 78,638,282,168.08 - Step 4: Simplify right side
142,003,055,480.08x = 15,410,773,768,046,991,376,384 - Step 5: Solve for x
x = 15,410,773,768,046,991,376,384/142,003,055,480.08 - Step 6: Final answer
x = 108,524,240,664.73
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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.