Finding the Fourth Proportional to 180,577,107.60, 249,211,776.97 and 102,274,590.66
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Solution
The fourth proportional to 180,577,107.60, 249,211,776.97 and 102,274,590.66 is: 141,147,639.45
Step by Step Solution
- Step 1: Write the proportion equation
180,577,107.60 : 249,211,776.97 = 102,274,590.66 : x - Step 2: Convert to fraction form
180,577,107.60/249,211,776.97 = 102,274,590.66/x - Step 3: Cross multiply
180,577,107.60x = 249,211,776.97 × 102,274,590.66 - Step 4: Simplify right side
180,577,107.60x = 25,488,032,477,257,964 - Step 5: Solve for x
x = 25,488,032,477,257,964/180,577,107.60 - Step 6: Final answer
x = 141,147,639.45
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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.