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Finding the Fourth Proportional to 137,064.20, 205,725.90 and 84,576.20

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Solution

The fourth proportional to 137,064.20, 205,725.90 and 84,576.20 is: 126,944.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,064.20 : 205,725.90 = 84,576.20 : x
  2. Step 2: Convert to fraction form
    137,064.20/205,725.90 = 84,576.20/x
  3. Step 3: Cross multiply
    137,064.20x = 205,725.90 × 84,576.20
  4. Step 4: Simplify right side
    137,064.20x = 17,399,514,863.58
  5. Step 5: Solve for x
    x = 17,399,514,863.58/137,064.20
  6. Step 6: Final answer
    x = 126,944.27

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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.