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Finding the Fourth Proportional to 120,107.68, 180,170.72 and 41,221.28

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Solution

The fourth proportional to 120,107.68, 180,170.72 and 41,221.28 is: 61,835.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,107.68 : 180,170.72 = 41,221.28 : x
  2. Step 2: Convert to fraction form
    120,107.68/180,170.72 = 41,221.28/x
  3. Step 3: Cross multiply
    120,107.68x = 180,170.72 × 41,221.28
  4. Step 4: Simplify right side
    120,107.68x = 7,426,867,696.92
  5. Step 5: Solve for x
    x = 7,426,867,696.92/120,107.68
  6. Step 6: Final answer
    x = 61,835.08

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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.