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Finding the Fourth Proportional to 120,251.97, 180,419.40 and 53,738.01

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Solution

The fourth proportional to 120,251.97, 180,419.40 and 53,738.01 is: 80,625.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,251.97 : 180,419.40 = 53,738.01 : x
  2. Step 2: Convert to fraction form
    120,251.97/180,419.40 = 53,738.01/x
  3. Step 3: Cross multiply
    120,251.97x = 180,419.40 × 53,738.01
  4. Step 4: Simplify right side
    120,251.97x = 9,695,379,521.39
  5. Step 5: Solve for x
    x = 9,695,379,521.39/120,251.97
  6. Step 6: Final answer
    x = 80,625.54

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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.