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Finding the Fourth Proportional to 55,149.48, 82,751.58 and 21,868.86

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Solution

The fourth proportional to 55,149.48, 82,751.58 and 21,868.86 is: 32,814.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,149.48 : 82,751.58 = 21,868.86 : x
  2. Step 2: Convert to fraction form
    55,149.48/82,751.58 = 21,868.86/x
  3. Step 3: Cross multiply
    55,149.48x = 82,751.58 × 21,868.86
  4. Step 4: Simplify right side
    55,149.48x = 1,809,682,717.80
  5. Step 5: Solve for x
    x = 1,809,682,717.80/55,149.48
  6. Step 6: Final answer
    x = 32,814.14

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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.