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Finding the Fourth Proportional to 68,348,836.80, 102,523,255.20 and 20,479,780.80

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Solution

The fourth proportional to 68,348,836.80, 102,523,255.20 and 20,479,780.80 is: 30,719,671.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,348,836.80 : 102,523,255.20 = 20,479,780.80 : x
  2. Step 2: Convert to fraction form
    68,348,836.80/102,523,255.20 = 20,479,780.80/x
  3. Step 3: Cross multiply
    68,348,836.80x = 102,523,255.20 × 20,479,780.80
  4. Step 4: Simplify right side
    68,348,836.80x = 2,099,653,793,398,460.25
  5. Step 5: Solve for x
    x = 2,099,653,793,398,460.25/68,348,836.80
  6. Step 6: Final answer
    x = 30,719,671.20

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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.