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Finding the Fourth Proportional to 120,378.70, 180,533.22 and 36,135.46

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Solution

The fourth proportional to 120,378.70, 180,533.22 and 36,135.46 is: 54,192.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,378.70 : 180,533.22 = 36,135.46 : x
  2. Step 2: Convert to fraction form
    120,378.70/180,533.22 = 36,135.46/x
  3. Step 3: Cross multiply
    120,378.70x = 180,533.22 × 36,135.46
  4. Step 4: Simplify right side
    120,378.70x = 6,523,650,949.98
  5. Step 5: Solve for x
    x = 6,523,650,949.98/120,378.70
  6. Step 6: Final answer
    x = 54,192.73

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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.