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Finding the Fourth Proportional to 82,857.20, 124,285.80 and 36,201.20

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Solution

The fourth proportional to 82,857.20, 124,285.80 and 36,201.20 is: 54,301.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,857.20 : 124,285.80 = 36,201.20 : x
  2. Step 2: Convert to fraction form
    82,857.20/124,285.80 = 36,201.20/x
  3. Step 3: Cross multiply
    82,857.20x = 124,285.80 × 36,201.20
  4. Step 4: Simplify right side
    82,857.20x = 4,499,295,102.96
  5. Step 5: Solve for x
    x = 4,499,295,102.96/82,857.20
  6. Step 6: Final answer
    x = 54,301.80

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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.