Finding the Fourth Proportional to 207,937,178.40, 286,942,395.60 and 113,833,284.96
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Solution
The fourth proportional to 207,937,178.40, 286,942,395.60 and 113,833,284.96 is: 157,083,960.34
Step by Step Solution
- Step 1: Write the proportion equation
207,937,178.40 : 286,942,395.60 = 113,833,284.96 : x - Step 2: Convert to fraction form
207,937,178.40/286,942,395.60 = 113,833,284.96/x - Step 3: Cross multiply
207,937,178.40x = 286,942,395.60 × 113,833,284.96 - Step 4: Simplify right side
207,937,178.40x = 32,663,595,485,439,852 - Step 5: Solve for x
x = 32,663,595,485,439,852/207,937,178.40 - Step 6: Final answer
x = 157,083,960.34
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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.