Finding the Fourth Proportional to 149,382,583.90, 206,148,865.25 and 83,307,259.55
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Solution
The fourth proportional to 149,382,583.90, 206,148,865.25 and 83,307,259.55 is: 114,964,519.80
Step by Step Solution
- Step 1: Write the proportion equation
149,382,583.90 : 206,148,865.25 = 83,307,259.55 : x - Step 2: Convert to fraction form
149,382,583.90/206,148,865.25 = 83,307,259.55/x - Step 3: Cross multiply
149,382,583.90x = 206,148,865.25 × 83,307,259.55 - Step 4: Simplify right side
149,382,583.90x = 17,173,697,024,043,364 - Step 5: Solve for x
x = 17,173,697,024,043,364/149,382,583.90 - Step 6: Final answer
x = 114,964,519.80
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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.