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Finding the Fourth Proportional to 120,624.60, 180,936.90 and 50,496.60

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Solution

The fourth proportional to 120,624.60, 180,936.90 and 50,496.60 is: 75,744.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,624.60 : 180,936.90 = 50,496.60 : x
  2. Step 2: Convert to fraction form
    120,624.60/180,936.90 = 50,496.60/x
  3. Step 3: Cross multiply
    120,624.60x = 180,936.90 × 50,496.60
  4. Step 4: Simplify right side
    120,624.60x = 9,136,698,264.54
  5. Step 5: Solve for x
    x = 9,136,698,264.54/120,624.60
  6. Step 6: Final answer
    x = 75,744.90

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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.