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Finding the Fourth Proportional to 212,894,198.16, 319,339,168.34 and 67,327,784.34

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Solution

The fourth proportional to 212,894,198.16, 319,339,168.34 and 67,327,784.34 is: 100,991,003.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,894,198.16 : 319,339,168.34 = 67,327,784.34 : x
  2. Step 2: Convert to fraction form
    212,894,198.16/319,339,168.34 = 67,327,784.34/x
  3. Step 3: Cross multiply
    212,894,198.16x = 319,339,168.34 × 67,327,784.34
  4. Step 4: Simplify right side
    212,894,198.16x = 21,500,398,657,310,476
  5. Step 5: Solve for x
    x = 21,500,398,657,310,476/212,894,198.16
  6. Step 6: Final answer
    x = 100,991,003.25

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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.