Finding the Fourth Proportional to 139,989,823,742.87, 193,183,900,810.74 and 78,191,295,268.19
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Solution
The fourth proportional to 139,989,823,742.87, 193,183,900,810.74 and 78,191,295,268.19 is: 107,902,839,117.07
Step by Step Solution
- Step 1: Write the proportion equation
139,989,823,742.87 : 193,183,900,810.74 = 78,191,295,268.19 : x - Step 2: Convert to fraction form
139,989,823,742.87/193,183,900,810.74 = 78,191,295,268.19/x - Step 3: Cross multiply
139,989,823,742.87x = 193,183,900,810.74 × 78,191,295,268.19 - Step 4: Simplify right side
139,989,823,742.87x = 15,105,299,429,353,878,192,128 - Step 5: Solve for x
x = 15,105,299,429,353,878,192,128/139,989,823,742.87 - Step 6: Final answer
x = 107,902,839,117.07
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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.