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Finding the Fourth Proportional to 137,920.20, 206,880.30 and 54,814.20

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Solution

The fourth proportional to 137,920.20, 206,880.30 and 54,814.20 is: 82,221.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,920.20 : 206,880.30 = 54,814.20 : x
  2. Step 2: Convert to fraction form
    137,920.20/206,880.30 = 54,814.20/x
  3. Step 3: Cross multiply
    137,920.20x = 206,880.30 × 54,814.20
  4. Step 4: Simplify right side
    137,920.20x = 11,339,978,140.26
  5. Step 5: Solve for x
    x = 11,339,978,140.26/137,920.20
  6. Step 6: Final answer
    x = 82,221.30

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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.