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Finding the Fourth Proportional to 205,589.60, 307,923.60 and 122,645.60

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Solution

The fourth proportional to 205,589.60, 307,923.60 and 122,645.60 is: 183,693.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,589.60 : 307,923.60 = 122,645.60 : x
  2. Step 2: Convert to fraction form
    205,589.60/307,923.60 = 122,645.60/x
  3. Step 3: Cross multiply
    205,589.60x = 307,923.60 × 122,645.60
  4. Step 4: Simplify right side
    205,589.60x = 37,765,474,676.16
  5. Step 5: Solve for x
    x = 37,765,474,676.16/205,589.60
  6. Step 6: Final answer
    x = 183,693.51

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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.