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Finding the Fourth Proportional to 209,580.60, 313,753.14 and 138,372.60

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Solution

The fourth proportional to 209,580.60, 313,753.14 and 138,372.60 is: 207,151.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,580.60 : 313,753.14 = 138,372.60 : x
  2. Step 2: Convert to fraction form
    209,580.60/313,753.14 = 138,372.60/x
  3. Step 3: Cross multiply
    209,580.60x = 313,753.14 × 138,372.60
  4. Step 4: Simplify right side
    209,580.60x = 43,414,837,739.96
  5. Step 5: Solve for x
    x = 43,414,837,739.96/209,580.60
  6. Step 6: Final answer
    x = 207,151.03

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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.