Finding the Fourth Proportional to 100,223,592,130.84, 138,309,276,639.12 and 54,497,539,880.06
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Solution
The fourth proportional to 100,223,592,130.84, 138,309,276,639.12 and 54,497,539,880.06 is: 75,206,996,268.73
Step by Step Solution
- Step 1: Write the proportion equation
100,223,592,130.84 : 138,309,276,639.12 = 54,497,539,880.06 : x - Step 2: Convert to fraction form
100,223,592,130.84/138,309,276,639.12 = 54,497,539,880.06/x - Step 3: Cross multiply
100,223,592,130.84x = 138,309,276,639.12 × 54,497,539,880.06 - Step 4: Simplify right side
100,223,592,130.84x = 7,537,515,319,422,692,098,048 - Step 5: Solve for x
x = 7,537,515,319,422,692,098,048/100,223,592,130.84 - Step 6: Final answer
x = 75,206,996,268.73
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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.