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Finding the Fourth Proportional to 84,584.80, 126,785.64 and 55,023.76

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Solution

The fourth proportional to 84,584.80, 126,785.64 and 55,023.76 is: 82,476.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,584.80 : 126,785.64 = 55,023.76 : x
  2. Step 2: Convert to fraction form
    84,584.80/126,785.64 = 55,023.76/x
  3. Step 3: Cross multiply
    84,584.80x = 126,785.64 × 55,023.76
  4. Step 4: Simplify right side
    84,584.80x = 6,976,222,626.81
  5. Step 5: Solve for x
    x = 6,976,222,626.81/84,584.80
  6. Step 6: Final answer
    x = 82,476.08

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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.