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Finding the Fourth Proportional to 57,405.80, 86,024.46 and 40,797.80

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Solution

The fourth proportional to 57,405.80, 86,024.46 and 40,797.80 is: 61,136.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,405.80 : 86,024.46 = 40,797.80 : x
  2. Step 2: Convert to fraction form
    57,405.80/86,024.46 = 40,797.80/x
  3. Step 3: Cross multiply
    57,405.80x = 86,024.46 × 40,797.80
  4. Step 4: Simplify right side
    57,405.80x = 3,509,608,714.19
  5. Step 5: Solve for x
    x = 3,509,608,714.19/57,405.80
  6. Step 6: Final answer
    x = 61,136.83

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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.