Finding the Fourth Proportional to 98,338,106,539.08, 147,283,753,608.79 and 76,957,308,039.78
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Solution
The fourth proportional to 98,338,106,539.08, 147,283,753,608.79 and 76,957,308,039.78 is: 115,261,129,125.18
Step by Step Solution
- Step 1: Write the proportion equation
98,338,106,539.08 : 147,283,753,608.79 = 76,957,308,039.78 : x - Step 2: Convert to fraction form
98,338,106,539.08/147,283,753,608.79 = 76,957,308,039.78/x - Step 3: Cross multiply
98,338,106,539.08x = 147,283,753,608.79 × 76,957,308,039.78 - Step 4: Simplify right side
98,338,106,539.08x = 11,334,561,195,726,712,340,480 - Step 5: Solve for x
x = 11,334,561,195,726,712,340,480/98,338,106,539.08 - Step 6: Final answer
x = 115,261,129,125.18
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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.