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Finding the Fourth Proportional to 206,465.60, 309,621.60 and 81,780.80

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Solution

The fourth proportional to 206,465.60, 309,621.60 and 81,780.80 is: 122,640.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,465.60 : 309,621.60 = 81,780.80 : x
  2. Step 2: Convert to fraction form
    206,465.60/309,621.60 = 81,780.80/x
  3. Step 3: Cross multiply
    206,465.60x = 309,621.60 × 81,780.80
  4. Step 4: Simplify right side
    206,465.60x = 25,321,102,145.28
  5. Step 5: Solve for x
    x = 25,321,102,145.28/206,465.60
  6. Step 6: Final answer
    x = 122,640.78

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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.