Finding the Fourth Proportional to 207,158,418,471.87, 285,875,575,068.12 and 115,708,303,886.42
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Solution
The fourth proportional to 207,158,418,471.87, 285,875,575,068.12 and 115,708,303,886.42 is: 159,675,760,018.31
Step by Step Solution
- Step 1: Write the proportion equation
207,158,418,471.87 : 285,875,575,068.12 = 115,708,303,886.42 : x - Step 2: Convert to fraction form
207,158,418,471.87/285,875,575,068.12 = 115,708,303,886.42/x - Step 3: Cross multiply
207,158,418,471.87x = 285,875,575,068.12 × 115,708,303,886.42 - Step 4: Simplify right side
207,158,418,471.87x = 33,078,177,913,687,102,193,664 - Step 5: Solve for x
x = 33,078,177,913,687,102,193,664/207,158,418,471.87 - Step 6: Final answer
x = 159,675,760,018.31
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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.