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Finding the Fourth Proportional to 275,642.35, 412,909.92 and 125,676.34

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Solution

The fourth proportional to 275,642.35, 412,909.92 and 125,676.34 is: 188,262.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,642.35 : 412,909.92 = 125,676.34 : x
  2. Step 2: Convert to fraction form
    275,642.35/412,909.92 = 125,676.34/x
  3. Step 3: Cross multiply
    275,642.35x = 412,909.92 × 125,676.34
  4. Step 4: Simplify right side
    275,642.35x = 51,893,006,463.02
  5. Step 5: Solve for x
    x = 51,893,006,463.02/275,642.35
  6. Step 6: Final answer
    x = 188,262.10

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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.