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Finding the Fourth Proportional to 137,279.81, 205,923.36 and 43,785.56

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Solution

The fourth proportional to 137,279.81, 205,923.36 and 43,785.56 is: 65,679.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,279.81 : 205,923.36 = 43,785.56 : x
  2. Step 2: Convert to fraction form
    137,279.81/205,923.36 = 43,785.56/x
  3. Step 3: Cross multiply
    137,279.81x = 205,923.36 × 43,785.56
  4. Step 4: Simplify right side
    137,279.81x = 9,016,470,313.69
  5. Step 5: Solve for x
    x = 9,016,470,313.69/137,279.81
  6. Step 6: Final answer
    x = 65,679.51

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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.