Finding the Fourth Proportional to 151,072,068,406.12, 208,497,735,877.18 and 85,982,322,182.08
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Solution
The fourth proportional to 151,072,068,406.12, 208,497,735,877.18 and 85,982,322,182.08 is: 118,666,009,471.94
Step by Step Solution
- Step 1: Write the proportion equation
151,072,068,406.12 : 208,497,735,877.18 = 85,982,322,182.08 : x - Step 2: Convert to fraction form
151,072,068,406.12/208,497,735,877.18 = 85,982,322,182.08/x - Step 3: Cross multiply
151,072,068,406.12x = 208,497,735,877.18 × 85,982,322,182.08 - Step 4: Simplify right side
151,072,068,406.12x = 17,927,119,500,425,910,288,384 - Step 5: Solve for x
x = 17,927,119,500,425,910,288,384/151,072,068,406.12 - Step 6: Final answer
x = 118,666,009,471.94
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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.