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Finding the Fourth Proportional to 120,589.69, 180,867.78 and 84,456.69

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Solution

The fourth proportional to 120,589.69, 180,867.78 and 84,456.69 is: 126,673.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,589.69 : 180,867.78 = 84,456.69 : x
  2. Step 2: Convert to fraction form
    120,589.69/180,867.78 = 84,456.69/x
  3. Step 3: Cross multiply
    120,589.69x = 180,867.78 × 84,456.69
  4. Step 4: Simplify right side
    120,589.69x = 15,275,494,026.45
  5. Step 5: Solve for x
    x = 15,275,494,026.45/120,589.69
  6. Step 6: Final answer
    x = 126,673.30

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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.