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Finding the Fourth Proportional to 81,874.92, 122,842.42 and 34,501.94

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Solution

The fourth proportional to 81,874.92, 122,842.42 and 34,501.94 is: 51,765.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,874.92 : 122,842.42 = 34,501.94 : x
  2. Step 2: Convert to fraction form
    81,874.92/122,842.42 = 34,501.94/x
  3. Step 3: Cross multiply
    81,874.92x = 122,842.42 × 34,501.94
  4. Step 4: Simplify right side
    81,874.92x = 4,238,301,017.57
  5. Step 5: Solve for x
    x = 4,238,301,017.57/81,874.92
  6. Step 6: Final answer
    x = 51,765.56

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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.