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Finding the Fourth Proportional to 41,605.20, 62,407.80 and 20,821.20

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Solution

The fourth proportional to 41,605.20, 62,407.80 and 20,821.20 is: 31,231.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,605.20 : 62,407.80 = 20,821.20 : x
  2. Step 2: Convert to fraction form
    41,605.20/62,407.80 = 20,821.20/x
  3. Step 3: Cross multiply
    41,605.20x = 62,407.80 × 20,821.20
  4. Step 4: Simplify right side
    41,605.20x = 1,299,405,285.36
  5. Step 5: Solve for x
    x = 1,299,405,285.36/41,605.20
  6. Step 6: Final answer
    x = 31,231.80

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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.