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Finding the Fourth Proportional to 55,207.80, 82,813.05 and 20,147.45

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Solution

The fourth proportional to 55,207.80, 82,813.05 and 20,147.45 is: 30,221.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,207.80 : 82,813.05 = 20,147.45 : x
  2. Step 2: Convert to fraction form
    55,207.80/82,813.05 = 20,147.45/x
  3. Step 3: Cross multiply
    55,207.80x = 82,813.05 × 20,147.45
  4. Step 4: Simplify right side
    55,207.80x = 1,668,471,370.16
  5. Step 5: Solve for x
    x = 1,668,471,370.16/55,207.80
  6. Step 6: Final answer
    x = 30,221.66

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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.