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Finding the Fourth Proportional to 198,404.64, 273,695.76 and 122,821.92

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Solution

The fourth proportional to 198,404.64, 273,695.76 and 122,821.92 is: 169,430.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,404.64 : 273,695.76 = 122,821.92 : x
  2. Step 2: Convert to fraction form
    198,404.64/273,695.76 = 122,821.92/x
  3. Step 3: Cross multiply
    198,404.64x = 273,695.76 × 122,821.92
  4. Step 4: Simplify right side
    198,404.64x = 33,615,838,739.06
  5. Step 5: Solve for x
    x = 33,615,838,739.06/198,404.64
  6. Step 6: Final answer
    x = 169,430.71

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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.