Finding the Fourth Proportional to 205,106,322.68, 283,001,477.35 and 121,432,905.53
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Solution
The fourth proportional to 205,106,322.68, 283,001,477.35 and 121,432,905.53 is: 167,550,620.65
Step by Step Solution
- Step 1: Write the proportion equation
205,106,322.68 : 283,001,477.35 = 121,432,905.53 : x - Step 2: Convert to fraction form
205,106,322.68/283,001,477.35 = 121,432,905.53/x - Step 3: Cross multiply
205,106,322.68x = 283,001,477.35 × 121,432,905.53 - Step 4: Simplify right side
205,106,322.68x = 34,365,691,663,892,988 - Step 5: Solve for x
x = 34,365,691,663,892,988/205,106,322.68 - Step 6: Final answer
x = 167,550,620.65
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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.