Finding the Fourth Proportional to 120,247,633.14, 180,368,294.18 and 38,371,507.64
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Solution
The fourth proportional to 120,247,633.14, 180,368,294.18 and 38,371,507.64 is: 57,556,254.52
Step by Step Solution
- Step 1: Write the proportion equation
120,247,633.14 : 180,368,294.18 = 38,371,507.64 : x - Step 2: Convert to fraction form
120,247,633.14/180,368,294.18 = 38,371,507.64/x - Step 3: Cross multiply
120,247,633.14x = 180,368,294.18 × 38,371,507.64 - Step 4: Simplify right side
120,247,633.14x = 6,921,003,378,141,638 - Step 5: Solve for x
x = 6,921,003,378,141,638/120,247,633.14 - Step 6: Final answer
x = 57,556,254.52
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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.