Finding the Fourth Proportional to 108,115,118.16, 149,201,272.26 and 61,704,441.24
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Solution
The fourth proportional to 108,115,118.16, 149,201,272.26 and 61,704,441.24 is: 85,153,503.91
Step by Step Solution
- Step 1: Write the proportion equation
108,115,118.16 : 149,201,272.26 = 61,704,441.24 : x - Step 2: Convert to fraction form
108,115,118.16/149,201,272.26 = 61,704,441.24/x - Step 3: Cross multiply
108,115,118.16x = 149,201,272.26 × 61,704,441.24 - Step 4: Simplify right side
108,115,118.16x = 9,206,381,137,100,412 - Step 5: Solve for x
x = 9,206,381,137,100,412/108,115,118.16 - Step 6: Final answer
x = 85,153,503.91
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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.