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Finding the Fourth Proportional to 55,221.60, 82,879.64 and 21,965.08

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Solution

The fourth proportional to 55,221.60, 82,879.64 and 21,965.08 is: 32,966.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,221.60 : 82,879.64 = 21,965.08 : x
  2. Step 2: Convert to fraction form
    55,221.60/82,879.64 = 21,965.08/x
  3. Step 3: Cross multiply
    55,221.60x = 82,879.64 × 21,965.08
  4. Step 4: Simplify right side
    55,221.60x = 1,820,457,922.97
  5. Step 5: Solve for x
    x = 1,820,457,922.97/55,221.60
  6. Step 6: Final answer
    x = 32,966.41

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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.