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Finding the Fourth Proportional to 81,609.71, 122,400.45 and 21,638.57

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Solution

The fourth proportional to 81,609.71, 122,400.45 and 21,638.57 is: 32,454.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,609.71 : 122,400.45 = 21,638.57 : x
  2. Step 2: Convert to fraction form
    81,609.71/122,400.45 = 21,638.57/x
  3. Step 3: Cross multiply
    81,609.71x = 122,400.45 × 21,638.57
  4. Step 4: Simplify right side
    81,609.71x = 2,648,570,093.35
  5. Step 5: Solve for x
    x = 2,648,570,093.35/81,609.71
  6. Step 6: Final answer
    x = 32,454.11

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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.