Finding the Fourth Proportional to 142,976,175,341.04, 197,316,082,679.99 and 78,746,886,877.68
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Solution
The fourth proportional to 142,976,175,341.04, 197,316,082,679.99 and 78,746,886,877.68 is: 108,675,639,174.75
Step by Step Solution
- Step 1: Write the proportion equation
142,976,175,341.04 : 197,316,082,679.99 = 78,746,886,877.68 : x - Step 2: Convert to fraction form
142,976,175,341.04/197,316,082,679.99 = 78,746,886,877.68/x - Step 3: Cross multiply
142,976,175,341.04x = 197,316,082,679.99 × 78,746,886,877.68 - Step 4: Simplify right side
142,976,175,341.04x = 15,538,027,241,948,124,807,168 - Step 5: Solve for x
x = 15,538,027,241,948,124,807,168/142,976,175,341.04 - Step 6: Final answer
x = 108,675,639,174.75
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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.