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Finding the Fourth Proportional to 81,615.71, 122,409.45 and 21,644.57

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Solution

The fourth proportional to 81,615.71, 122,409.45 and 21,644.57 is: 32,463.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,615.71 : 122,409.45 = 21,644.57 : x
  2. Step 2: Convert to fraction form
    81,615.71/122,409.45 = 21,644.57/x
  3. Step 3: Cross multiply
    81,615.71x = 122,409.45 × 21,644.57
  4. Step 4: Simplify right side
    81,615.71x = 2,649,499,297.14
  5. Step 5: Solve for x
    x = 2,649,499,297.14/81,615.71
  6. Step 6: Final answer
    x = 32,463.11

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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.