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Finding the Fourth Proportional to 120,182.78, 180,147.05 and 45,270.52

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Solution

The fourth proportional to 120,182.78, 180,147.05 and 45,270.52 is: 67,857.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,182.78 : 180,147.05 = 45,270.52 : x
  2. Step 2: Convert to fraction form
    120,182.78/180,147.05 = 45,270.52/x
  3. Step 3: Cross multiply
    120,182.78x = 180,147.05 × 45,270.52
  4. Step 4: Simplify right side
    120,182.78x = 8,155,350,629.97
  5. Step 5: Solve for x
    x = 8,155,350,629.97/120,182.78
  6. Step 6: Final answer
    x = 67,857.90

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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.