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Finding the Fourth Proportional to 54,801.60, 82,234.80 and 39,973.20

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Solution

The fourth proportional to 54,801.60, 82,234.80 and 39,973.20 is: 59,983.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,801.60 : 82,234.80 = 39,973.20 : x
  2. Step 2: Convert to fraction form
    54,801.60/82,234.80 = 39,973.20/x
  3. Step 3: Cross multiply
    54,801.60x = 82,234.80 × 39,973.20
  4. Step 4: Simplify right side
    54,801.60x = 3,287,188,107.36
  5. Step 5: Solve for x
    x = 3,287,188,107.36/54,801.60
  6. Step 6: Final answer
    x = 59,983.43

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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.