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Finding the Fourth Proportional to 120,412.97, 180,621.48 and 45,568.36

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Solution

The fourth proportional to 120,412.97, 180,621.48 and 45,568.36 is: 68,353.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,412.97 : 180,621.48 = 45,568.36 : x
  2. Step 2: Convert to fraction form
    120,412.97/180,621.48 = 45,568.36/x
  3. Step 3: Cross multiply
    120,412.97x = 180,621.48 × 45,568.36
  4. Step 4: Simplify right side
    120,412.97x = 8,230,624,624.37
  5. Step 5: Solve for x
    x = 8,230,624,624.37/120,412.97
  6. Step 6: Final answer
    x = 68,353.31

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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.