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Finding the Fourth Proportional to 81,929.62, 122,888.94 and 22,763.98

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Solution

The fourth proportional to 81,929.62, 122,888.94 and 22,763.98 is: 34,144.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,929.62 : 122,888.94 = 22,763.98 : x
  2. Step 2: Convert to fraction form
    81,929.62/122,888.94 = 22,763.98/x
  3. Step 3: Cross multiply
    81,929.62x = 122,888.94 × 22,763.98
  4. Step 4: Simplify right side
    81,929.62x = 2,797,441,372.38
  5. Step 5: Solve for x
    x = 2,797,441,372.38/81,929.62
  6. Step 6: Final answer
    x = 34,144.44

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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.