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Finding the Fourth Proportional to 120,851.80, 180,919.30 and 89,824.60

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Solution

The fourth proportional to 120,851.80, 180,919.30 and 89,824.60 is: 134,470.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,851.80 : 180,919.30 = 89,824.60 : x
  2. Step 2: Convert to fraction form
    120,851.80/180,919.30 = 89,824.60/x
  3. Step 3: Cross multiply
    120,851.80x = 180,919.30 × 89,824.60
  4. Step 4: Simplify right side
    120,851.80x = 16,251,003,754.78
  5. Step 5: Solve for x
    x = 16,251,003,754.78/120,851.80
  6. Step 6: Final answer
    x = 134,470.51

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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.