Finding the Fourth Proportional to 97,404,906,997.81, 134,371,005,225.15 and 84,526,471,503.12
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Solution
The fourth proportional to 97,404,906,997.81, 134,371,005,225.15 and 84,526,471,503.12 is: 116,605,079,703.68
Step by Step Solution
- Step 1: Write the proportion equation
97,404,906,997.81 : 134,371,005,225.15 = 84,526,471,503.12 : x - Step 2: Convert to fraction form
97,404,906,997.81/134,371,005,225.15 = 84,526,471,503.12/x - Step 3: Cross multiply
97,404,906,997.81x = 134,371,005,225.15 × 84,526,471,503.12 - Step 4: Simplify right side
97,404,906,997.81x = 11,357,906,944,009,229,565,952 - Step 5: Solve for x
x = 11,357,906,944,009,229,565,952/97,404,906,997.81 - Step 6: Final answer
x = 116,605,079,703.68
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1.5x scale
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.