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Finding the Fourth Proportional to 57,785.60, 86,601.60 and 51,180.80

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Solution

The fourth proportional to 57,785.60, 86,601.60 and 51,180.80 is: 76,703.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,785.60 : 86,601.60 = 51,180.80 : x
  2. Step 2: Convert to fraction form
    57,785.60/86,601.60 = 51,180.80/x
  3. Step 3: Cross multiply
    57,785.60x = 86,601.60 × 51,180.80
  4. Step 4: Simplify right side
    57,785.60x = 4,432,339,169.28
  5. Step 5: Solve for x
    x = 4,432,339,169.28/57,785.60
  6. Step 6: Final answer
    x = 76,703.18

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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.