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Finding the Fourth Proportional to 230,290.97, 345,288.09 and 97,135.61

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Solution

The fourth proportional to 230,290.97, 345,288.09 and 97,135.61 is: 145,640.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,290.97 : 345,288.09 = 97,135.61 : x
  2. Step 2: Convert to fraction form
    230,290.97/345,288.09 = 97,135.61/x
  3. Step 3: Cross multiply
    230,290.97x = 345,288.09 × 97,135.61
  4. Step 4: Simplify right side
    230,290.97x = 33,539,769,247.88
  5. Step 5: Solve for x
    x = 33,539,769,247.88/230,290.97
  6. Step 6: Final answer
    x = 145,640.84

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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.