Finding the Fourth Proportional to 149,194,125,315.36, 205,908,893,062 and 94,983,357,180.96
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Solution
The fourth proportional to 149,194,125,315.36, 205,908,893,062 and 94,983,357,180.96 is: 131,090,402,488.06
Step by Step Solution
- Step 1: Write the proportion equation
149,194,125,315.36 : 205,908,893,062 = 94,983,357,180.96 : x - Step 2: Convert to fraction form
149,194,125,315.36/205,908,893,062 = 94,983,357,180.96/x - Step 3: Cross multiply
149,194,125,315.36x = 205,908,893,062 × 94,983,357,180.96 - Step 4: Simplify right side
149,194,125,315.36x = 19,557,917,936,444,042,641,408 - Step 5: Solve for x
x = 19,557,917,936,444,042,641,408/149,194,125,315.36 - Step 6: Final answer
x = 131,090,402,488.06
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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.