Finding the Fourth Proportional to 103,142,394.36, 154,696,766.14 and 30,342,155.31
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Solution
The fourth proportional to 103,142,394.36, 154,696,766.14 and 30,342,155.31 is: 45,508,283.31
Step by Step Solution
- Step 1: Write the proportion equation
103,142,394.36 : 154,696,766.14 = 30,342,155.31 : x - Step 2: Convert to fraction form
103,142,394.36/154,696,766.14 = 30,342,155.31/x - Step 3: Cross multiply
103,142,394.36x = 154,696,766.14 × 30,342,155.31 - Step 4: Simplify right side
103,142,394.36x = 4,693,833,304,174,629 - Step 5: Solve for x
x = 4,693,833,304,174,629/103,142,394.36 - Step 6: Final answer
x = 45,508,283.31
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.