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Finding the Fourth Proportional to 120,630.78, 180,918.63 and 45,759.24

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Solution

The fourth proportional to 120,630.78, 180,918.63 and 45,759.24 is: 68,628.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,630.78 : 180,918.63 = 45,759.24 : x
  2. Step 2: Convert to fraction form
    120,630.78/180,918.63 = 45,759.24/x
  3. Step 3: Cross multiply
    120,630.78x = 180,918.63 × 45,759.24
  4. Step 4: Simplify right side
    120,630.78x = 8,278,699,010.64
  5. Step 5: Solve for x
    x = 8,278,699,010.64/120,630.78
  6. Step 6: Final answer
    x = 68,628.41

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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.