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Finding the Fourth Proportional to 120,630.70, 180,946.05 and 83,305.90

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Solution

The fourth proportional to 120,630.70, 180,946.05 and 83,305.90 is: 124,958.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,630.70 : 180,946.05 = 83,305.90 : x
  2. Step 2: Convert to fraction form
    120,630.70/180,946.05 = 83,305.90/x
  3. Step 3: Cross multiply
    120,630.70x = 180,946.05 × 83,305.90
  4. Step 4: Simplify right side
    120,630.70x = 15,073,873,546.70
  5. Step 5: Solve for x
    x = 15,073,873,546.70/120,630.70
  6. Step 6: Final answer
    x = 124,958.85

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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.