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Finding the Fourth Proportional to 206,632.30, 309,620.40 and 136,429.60

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Solution

The fourth proportional to 206,632.30, 309,620.40 and 136,429.60 is: 204,427.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,632.30 : 309,620.40 = 136,429.60 : x
  2. Step 2: Convert to fraction form
    206,632.30/309,620.40 = 136,429.60/x
  3. Step 3: Cross multiply
    206,632.30x = 309,620.40 × 136,429.60
  4. Step 4: Simplify right side
    206,632.30x = 42,241,387,323.84
  5. Step 5: Solve for x
    x = 42,241,387,323.84/206,632.30
  6. Step 6: Final answer
    x = 204,427.80

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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.