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Finding the Fourth Proportional to 213,833.60, 295,121.60 and 123,171.92

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Solution

The fourth proportional to 213,833.60, 295,121.60 and 123,171.92 is: 169,995.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,833.60 : 295,121.60 = 123,171.92 : x
  2. Step 2: Convert to fraction form
    213,833.60/295,121.60 = 123,171.92/x
  3. Step 3: Cross multiply
    213,833.60x = 295,121.60 × 123,171.92
  4. Step 4: Simplify right side
    213,833.60x = 36,350,694,105.47
  5. Step 5: Solve for x
    x = 36,350,694,105.47/213,833.60
  6. Step 6: Final answer
    x = 169,995.24

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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.