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Finding the Fourth Proportional to 230,551.44, 345,857.40 and 90,291.84

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Solution

The fourth proportional to 230,551.44, 345,857.40 and 90,291.84 is: 135,449.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,551.44 : 345,857.40 = 90,291.84 : x
  2. Step 2: Convert to fraction form
    230,551.44/345,857.40 = 90,291.84/x
  3. Step 3: Cross multiply
    230,551.44x = 345,857.40 × 90,291.84
  4. Step 4: Simplify right side
    230,551.44x = 31,228,101,023.62
  5. Step 5: Solve for x
    x = 31,228,101,023.62/230,551.44
  6. Step 6: Final answer
    x = 135,449.60

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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.