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Finding the Fourth Proportional to 147,970, 204,198.60 and 80,902

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Solution

The fourth proportional to 147,970, 204,198.60 and 80,902 is: 111,644.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,970 : 204,198.60 = 80,902 : x
  2. Step 2: Convert to fraction form
    147,970/204,198.60 = 80,902/x
  3. Step 3: Cross multiply
    147,970x = 204,198.60 × 80,902
  4. Step 4: Simplify right side
    147,970x = 16,520,075,137.20
  5. Step 5: Solve for x
    x = 16,520,075,137.20/147,970
  6. Step 6: Final answer
    x = 111,644.76

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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.