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Finding the Fourth Proportional to 71,198,851.20, 106,798,276.80 and 20,080,204.80

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Solution

The fourth proportional to 71,198,851.20, 106,798,276.80 and 20,080,204.80 is: 30,120,307.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,198,851.20 : 106,798,276.80 = 20,080,204.80 : x
  2. Step 2: Convert to fraction form
    71,198,851.20/106,798,276.80 = 20,080,204.80/x
  3. Step 3: Cross multiply
    71,198,851.20x = 106,798,276.80 × 20,080,204.80
  4. Step 4: Simplify right side
    71,198,851.20x = 2,144,531,270,431,088.75
  5. Step 5: Solve for x
    x = 2,144,531,270,431,088.75/71,198,851.20
  6. Step 6: Final answer
    x = 30,120,307.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.