Finding the Fourth Proportional to 105,180,924.86, 157,788,340.64 and 32,397,671.70
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Solution
The fourth proportional to 105,180,924.86, 157,788,340.64 and 32,397,671.70 is: 48,601,729.50
Step by Step Solution
- Step 1: Write the proportion equation
105,180,924.86 : 157,788,340.64 = 32,397,671.70 : x - Step 2: Convert to fraction form
105,180,924.86/157,788,340.64 = 32,397,671.70/x - Step 3: Cross multiply
105,180,924.86x = 157,788,340.64 × 32,397,671.70 - Step 4: Simplify right side
105,180,924.86x = 5,111,974,858,101,990 - Step 5: Solve for x
x = 5,111,974,858,101,990/105,180,924.86 - Step 6: Final answer
x = 48,601,729.50
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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.