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Finding the Fourth Proportional to 55,200.54, 82,739.22 and 21,911.70

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Solution

The fourth proportional to 55,200.54, 82,739.22 and 21,911.70 is: 32,843.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,200.54 : 82,739.22 = 21,911.70 : x
  2. Step 2: Convert to fraction form
    55,200.54/82,739.22 = 21,911.70/x
  3. Step 3: Cross multiply
    55,200.54x = 82,739.22 × 21,911.70
  4. Step 4: Simplify right side
    55,200.54x = 1,812,956,966.87
  5. Step 5: Solve for x
    x = 1,812,956,966.87/55,200.54
  6. Step 6: Final answer
    x = 32,843.10

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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.