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Finding the Fourth Proportional to 120,603.37, 180,913.77 and 31,855.72

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Solution

The fourth proportional to 120,603.37, 180,913.77 and 31,855.72 is: 47,785.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,603.37 : 180,913.77 = 31,855.72 : x
  2. Step 2: Convert to fraction form
    120,603.37/180,913.77 = 31,855.72/x
  3. Step 3: Cross multiply
    120,603.37x = 180,913.77 × 31,855.72
  4. Step 4: Simplify right side
    120,603.37x = 5,763,138,241.99
  5. Step 5: Solve for x
    x = 5,763,138,241.99/120,603.37
  6. Step 6: Final answer
    x = 47,785.88

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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.