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Finding the Fourth Proportional to 55,291.80, 82,950.23 and 20,231.45

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Solution

The fourth proportional to 55,291.80, 82,950.23 and 20,231.45 is: 30,351.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,291.80 : 82,950.23 = 20,231.45 : x
  2. Step 2: Convert to fraction form
    55,291.80/82,950.23 = 20,231.45/x
  3. Step 3: Cross multiply
    55,291.80x = 82,950.23 × 20,231.45
  4. Step 4: Simplify right side
    55,291.80x = 1,678,203,430.73
  5. Step 5: Solve for x
    x = 1,678,203,430.73/55,291.80
  6. Step 6: Final answer
    x = 30,351.76

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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.