Finding the Fourth Proportional to 102,604,740,840.75, 141,594,539,292.06 and 56,878,900,383.21
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Solution
The fourth proportional to 102,604,740,840.75, 141,594,539,292.06 and 56,878,900,383.21 is: 78,492,880,827.99
Step by Step Solution
- Step 1: Write the proportion equation
102,604,740,840.75 : 141,594,539,292.06 = 56,878,900,383.21 : x - Step 2: Convert to fraction form
102,604,740,840.75/141,594,539,292.06 = 56,878,900,383.21/x - Step 3: Cross multiply
102,604,740,840.75x = 141,594,539,292.06 × 56,878,900,383.21 - Step 4: Simplify right side
102,604,740,840.75x = 8,053,741,695,199,594,151,936 - Step 5: Solve for x
x = 8,053,741,695,199,594,151,936/102,604,740,840.75 - Step 6: Final answer
x = 78,492,880,827.99
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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.