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Finding the Fourth Proportional to 55,221.60, 82,846.20 and 17,785.20

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Solution

The fourth proportional to 55,221.60, 82,846.20 and 17,785.20 is: 26,682.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,221.60 : 82,846.20 = 17,785.20 : x
  2. Step 2: Convert to fraction form
    55,221.60/82,846.20 = 17,785.20/x
  3. Step 3: Cross multiply
    55,221.60x = 82,846.20 × 17,785.20
  4. Step 4: Simplify right side
    55,221.60x = 1,473,436,236.24
  5. Step 5: Solve for x
    x = 1,473,436,236.24/55,221.60
  6. Step 6: Final answer
    x = 26,682.24

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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.