Finding the Fourth Proportional to 149,768,643.56, 206,676,763.54 and 83,689,684.84
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Solution
The fourth proportional to 149,768,643.56, 206,676,763.54 and 83,689,684.84 is: 115,489,549.70
Step by Step Solution
- Step 1: Write the proportion equation
149,768,643.56 : 206,676,763.54 = 83,689,684.84 : x - Step 2: Convert to fraction form
149,768,643.56/206,676,763.54 = 83,689,684.84/x - Step 3: Cross multiply
149,768,643.56x = 206,676,763.54 × 83,689,684.84 - Step 4: Simplify right side
149,768,643.56x = 17,296,713,204,413,802 - Step 5: Solve for x
x = 17,296,713,204,413,802/149,768,643.56 - Step 6: Final answer
x = 115,489,549.70
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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.