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Finding the Fourth Proportional to 120,498.80, 180,748.20 and 115,906.10

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Solution

The fourth proportional to 120,498.80, 180,748.20 and 115,906.10 is: 173,859.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,498.80 : 180,748.20 = 115,906.10 : x
  2. Step 2: Convert to fraction form
    120,498.80/180,748.20 = 115,906.10/x
  3. Step 3: Cross multiply
    120,498.80x = 180,748.20 × 115,906.10
  4. Step 4: Simplify right side
    120,498.80x = 20,949,818,944.02
  5. Step 5: Solve for x
    x = 20,949,818,944.02/120,498.80
  6. Step 6: Final answer
    x = 173,859.15

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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.