Finding the Fourth Proportional to 138,829,146.24, 208,257,530.88 and 51,414,056.32
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Solution
The fourth proportional to 138,829,146.24, 208,257,530.88 and 51,414,056.32 is: 77,126,199.45
Step by Step Solution
- Step 1: Write the proportion equation
138,829,146.24 : 208,257,530.88 = 51,414,056.32 : x - Step 2: Convert to fraction form
138,829,146.24/208,257,530.88 = 51,414,056.32/x - Step 3: Cross multiply
138,829,146.24x = 208,257,530.88 × 51,414,056.32 - Step 4: Simplify right side
138,829,146.24x = 10,707,364,421,728,458 - Step 5: Solve for x
x = 10,707,364,421,728,458/138,829,146.24 - Step 6: Final answer
x = 77,126,199.45
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.