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Finding the Fourth Proportional to 55,147.62, 82,730.54 and 21,867.86

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Solution

The fourth proportional to 55,147.62, 82,730.54 and 21,867.86 is: 32,805.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,147.62 : 82,730.54 = 21,867.86 : x
  2. Step 2: Convert to fraction form
    55,147.62/82,730.54 = 21,867.86/x
  3. Step 3: Cross multiply
    55,147.62x = 82,730.54 × 21,867.86
  4. Step 4: Simplify right side
    55,147.62x = 1,809,139,343.45
  5. Step 5: Solve for x
    x = 1,809,139,343.45/55,147.62
  6. Step 6: Final answer
    x = 32,805.39

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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.