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Finding the Fourth Proportional to 202,004.58, 278,753.81 and 111,355.86

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Solution

The fourth proportional to 202,004.58, 278,753.81 and 111,355.86 is: 153,664.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,004.58 : 278,753.81 = 111,355.86 : x
  2. Step 2: Convert to fraction form
    202,004.58/278,753.81 = 111,355.86/x
  3. Step 3: Cross multiply
    202,004.58x = 278,753.81 × 111,355.86
  4. Step 4: Simplify right side
    202,004.58x = 31,040,870,729.37
  5. Step 5: Solve for x
    x = 31,040,870,729.37/202,004.58
  6. Step 6: Final answer
    x = 153,664.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.