Finding the Fourth Proportional to 165,777,218,615.36, 228,773,246,293.68 and 89,653,631,003.84
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Solution
The fourth proportional to 165,777,218,615.36, 228,773,246,293.68 and 89,653,631,003.84 is: 123,722,381,024.82
Step by Step Solution
- Step 1: Write the proportion equation
165,777,218,615.36 : 228,773,246,293.68 = 89,653,631,003.84 : x - Step 2: Convert to fraction form
165,777,218,615.36/228,773,246,293.68 = 89,653,631,003.84/x - Step 3: Cross multiply
165,777,218,615.36x = 228,773,246,293.68 × 89,653,631,003.84 - Step 4: Simplify right side
165,777,218,615.36x = 20,510,352,206,764,194,136,064 - Step 5: Solve for x
x = 20,510,352,206,764,194,136,064/165,777,218,615.36 - Step 6: Final answer
x = 123,722,381,024.82
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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.