Finding the Fourth Proportional to 206,736,656.58, 285,302,671.74 and 113,923,143.14
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Solution
The fourth proportional to 206,736,656.58, 285,302,671.74 and 113,923,143.14 is: 157,217,291.05
Step by Step Solution
- Step 1: Write the proportion equation
206,736,656.58 : 285,302,671.74 = 113,923,143.14 : x - Step 2: Convert to fraction form
206,736,656.58/285,302,671.74 = 113,923,143.14/x - Step 3: Cross multiply
206,736,656.58x = 285,302,671.74 × 113,923,143.14 - Step 4: Simplify right side
206,736,656.58x = 32,502,577,108,864,328 - Step 5: Solve for x
x = 32,502,577,108,864,328/206,736,656.58 - Step 6: Final answer
x = 157,217,291.05
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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.