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Finding the Fourth Proportional to 120,080.36, 180,129.54 and 35,833.88

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Solution

The fourth proportional to 120,080.36, 180,129.54 and 35,833.88 is: 53,753.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,080.36 : 180,129.54 = 35,833.88 : x
  2. Step 2: Convert to fraction form
    120,080.36/180,129.54 = 35,833.88/x
  3. Step 3: Cross multiply
    120,080.36x = 180,129.54 × 35,833.88
  4. Step 4: Simplify right side
    120,080.36x = 6,454,740,320.82
  5. Step 5: Solve for x
    x = 6,454,740,320.82/120,080.36
  6. Step 6: Final answer
    x = 53,753.51

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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.