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Finding the Fourth Proportional to 137,583.60, 206,375.40 and 82,287.60

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Solution

The fourth proportional to 137,583.60, 206,375.40 and 82,287.60 is: 123,431.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,583.60 : 206,375.40 = 82,287.60 : x
  2. Step 2: Convert to fraction form
    137,583.60/206,375.40 = 82,287.60/x
  3. Step 3: Cross multiply
    137,583.60x = 206,375.40 × 82,287.60
  4. Step 4: Simplify right side
    137,583.60x = 16,982,136,365.04
  5. Step 5: Solve for x
    x = 16,982,136,365.04/137,583.60
  6. Step 6: Final answer
    x = 123,431.40

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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.