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Finding the Fourth Proportional to 120,028.52, 180,064.65 and 41,150.72

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Solution

The fourth proportional to 120,028.52, 180,064.65 and 41,150.72 is: 61,733.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,028.52 : 180,064.65 = 41,150.72 : x
  2. Step 2: Convert to fraction form
    120,028.52/180,064.65 = 41,150.72/x
  3. Step 3: Cross multiply
    120,028.52x = 180,064.65 × 41,150.72
  4. Step 4: Simplify right side
    120,028.52x = 7,409,789,994.05
  5. Step 5: Solve for x
    x = 7,409,789,994.05/120,028.52
  6. Step 6: Final answer
    x = 61,733.58

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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.