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Finding the Fourth Proportional to 230,162.31, 345,324.87 and 80,443.94

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Solution

The fourth proportional to 230,162.31, 345,324.87 and 80,443.94 is: 120,694.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,162.31 : 345,324.87 = 80,443.94 : x
  2. Step 2: Convert to fraction form
    230,162.31/345,324.87 = 80,443.94/x
  3. Step 3: Cross multiply
    230,162.31x = 345,324.87 × 80,443.94
  4. Step 4: Simplify right side
    230,162.31x = 27,779,291,396.16
  5. Step 5: Solve for x
    x = 27,779,291,396.16/230,162.31
  6. Step 6: Final answer
    x = 120,694.35

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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.