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Finding the Fourth Proportional to 153,732.87, 230,490.39 and 68,296.80

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Solution

The fourth proportional to 153,732.87, 230,490.39 and 68,296.80 is: 102,396.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,732.87 : 230,490.39 = 68,296.80 : x
  2. Step 2: Convert to fraction form
    153,732.87/230,490.39 = 68,296.80/x
  3. Step 3: Cross multiply
    153,732.87x = 230,490.39 × 68,296.80
  4. Step 4: Simplify right side
    153,732.87x = 15,741,756,067.75
  5. Step 5: Solve for x
    x = 15,741,756,067.75/153,732.87
  6. Step 6: Final answer
    x = 102,396.81

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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.