Finding the Fourth Proportional to 103,420,278,199.08, 142,719,919,451.01 and 55,896,698,215.08
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Solution
The fourth proportional to 103,420,278,199.08, 142,719,919,451.01 and 55,896,698,215.08 is: 77,137,408,695.39
Step by Step Solution
- Step 1: Write the proportion equation
103,420,278,199.08 : 142,719,919,451.01 = 55,896,698,215.08 : x - Step 2: Convert to fraction form
103,420,278,199.08/142,719,919,451.01 = 55,896,698,215.08/x - Step 3: Cross multiply
103,420,278,199.08x = 142,719,919,451.01 × 55,896,698,215.08 - Step 4: Simplify right side
103,420,278,199.08x = 7,977,572,266,833,632,821,248 - Step 5: Solve for x
x = 7,977,572,266,833,632,821,248/103,420,278,199.08 - Step 6: Final answer
x = 77,137,408,695.39
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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.