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Finding the Fourth Proportional to 120,262.92, 180,456.61 and 87,255.42

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Solution

The fourth proportional to 120,262.92, 180,456.61 and 87,255.42 is: 130,928.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,262.92 : 180,456.61 = 87,255.42 : x
  2. Step 2: Convert to fraction form
    120,262.92/180,456.61 = 87,255.42/x
  3. Step 3: Cross multiply
    120,262.92x = 180,456.61 × 87,255.42
  4. Step 4: Simplify right side
    120,262.92x = 15,745,817,297.33
  5. Step 5: Solve for x
    x = 15,745,817,297.33/120,262.92
  6. Step 6: Final answer
    x = 130,928.28

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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.