Finding the Fourth Proportional to 206,648,849.36, 285,175,427.69 and 113,829,357.21
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Solution
The fourth proportional to 206,648,849.36, 285,175,427.69 and 113,829,357.21 is: 157,084,521.52
Step by Step Solution
- Step 1: Write the proportion equation
206,648,849.36 : 285,175,427.69 = 113,829,357.21 : x - Step 2: Convert to fraction form
206,648,849.36/285,175,427.69 = 113,829,357.21/x - Step 3: Cross multiply
206,648,849.36x = 285,175,427.69 × 113,829,357.21 - Step 4: Simplify right side
206,648,849.36x = 32,461,335,625,254,700 - Step 5: Solve for x
x = 32,461,335,625,254,700/206,648,849.36 - Step 6: Final answer
x = 157,084,521.52
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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.