Finding the Fourth Proportional to 103,415,833.84, 142,713,783.75 and 56,372,997.28
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Solution
The fourth proportional to 103,415,833.84, 142,713,783.75 and 56,372,997.28 is: 77,794,699.75
Step by Step Solution
- Step 1: Write the proportion equation
103,415,833.84 : 142,713,783.75 = 56,372,997.28 : x - Step 2: Convert to fraction form
103,415,833.84/142,713,783.75 = 56,372,997.28/x - Step 3: Cross multiply
103,415,833.84x = 142,713,783.75 × 56,372,997.28 - Step 4: Simplify right side
103,415,833.84x = 8,045,203,743,157,258 - Step 5: Solve for x
x = 8,045,203,743,157,258/103,415,833.84 - Step 6: Final answer
x = 77,794,699.75
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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.