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Finding the Fourth Proportional to 81,735.84, 122,651.15 and 34,347.20

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Solution

The fourth proportional to 81,735.84, 122,651.15 and 34,347.20 is: 51,540.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,735.84 : 122,651.15 = 34,347.20 : x
  2. Step 2: Convert to fraction form
    81,735.84/122,651.15 = 34,347.20/x
  3. Step 3: Cross multiply
    81,735.84x = 122,651.15 × 34,347.20
  4. Step 4: Simplify right side
    81,735.84x = 4,212,722,794.29
  5. Step 5: Solve for x
    x = 4,212,722,794.29/81,735.84
  6. Step 6: Final answer
    x = 51,540.70

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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.