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Finding the Fourth Proportional to 120,857.92, 166,828.84 and 103,793.64

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Solution

The fourth proportional to 120,857.92, 166,828.84 and 103,793.64 is: 143,273.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,857.92 : 166,828.84 = 103,793.64 : x
  2. Step 2: Convert to fraction form
    120,857.92/166,828.84 = 103,793.64/x
  3. Step 3: Cross multiply
    120,857.92x = 166,828.84 × 103,793.64
  4. Step 4: Simplify right side
    120,857.92x = 17,315,772,560.58
  5. Step 5: Solve for x
    x = 17,315,772,560.58/120,857.92
  6. Step 6: Final answer
    x = 143,273.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.