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Finding the Fourth Proportional to 120,563.20, 180,801.60 and 61,379.20

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Solution

The fourth proportional to 120,563.20, 180,801.60 and 61,379.20 is: 92,046.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,563.20 : 180,801.60 = 61,379.20 : x
  2. Step 2: Convert to fraction form
    120,563.20/180,801.60 = 61,379.20/x
  3. Step 3: Cross multiply
    120,563.20x = 180,801.60 × 61,379.20
  4. Step 4: Simplify right side
    120,563.20x = 11,097,457,566.72
  5. Step 5: Solve for x
    x = 11,097,457,566.72/120,563.20
  6. Step 6: Final answer
    x = 92,046.81

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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.