Finding the Fourth Proportional to 154,845,584,374.14, 213,658,539,637.20 and 86,255,290,568.94
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Solution
The fourth proportional to 154,845,584,374.14, 213,658,539,637.20 and 86,255,290,568.94 is: 119,016,499,523.90
Step by Step Solution
- Step 1: Write the proportion equation
154,845,584,374.14 : 213,658,539,637.20 = 86,255,290,568.94 : x - Step 2: Convert to fraction form
154,845,584,374.14/213,658,539,637.20 = 86,255,290,568.94/x - Step 3: Cross multiply
154,845,584,374.14x = 213,658,539,637.20 × 86,255,290,568.94 - Step 4: Simplify right side
154,845,584,374.14x = 18,429,179,418,942,071,898,112 - Step 5: Solve for x
x = 18,429,179,418,942,071,898,112/154,845,584,374.14 - Step 6: Final answer
x = 119,016,499,523.90
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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.