Finding the Fourth Proportional to 151,072,068,408.18, 208,497,735,879.97 and 85,982,322,184.13
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Solution
The fourth proportional to 151,072,068,408.18, 208,497,735,879.97 and 85,982,322,184.13 is: 118,666,009,474.73
Step by Step Solution
- Step 1: Write the proportion equation
151,072,068,408.18 : 208,497,735,879.97 = 85,982,322,184.13 : x - Step 2: Convert to fraction form
151,072,068,408.18/208,497,735,879.97 = 85,982,322,184.13/x - Step 3: Cross multiply
151,072,068,408.18x = 208,497,735,879.97 × 85,982,322,184.13 - Step 4: Simplify right side
151,072,068,408.18x = 17,927,119,501,092,179,673,088 - Step 5: Solve for x
x = 17,927,119,501,092,179,673,088/151,072,068,408.18 - Step 6: Final answer
x = 118,666,009,474.73
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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.