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Finding the Fourth Proportional to 81,675.84, 122,513.76 and 22,509.60

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Solution

The fourth proportional to 81,675.84, 122,513.76 and 22,509.60 is: 33,764.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,675.84 : 122,513.76 = 22,509.60 : x
  2. Step 2: Convert to fraction form
    81,675.84/122,513.76 = 22,509.60/x
  3. Step 3: Cross multiply
    81,675.84x = 122,513.76 × 22,509.60
  4. Step 4: Simplify right side
    81,675.84x = 2,757,735,732.10
  5. Step 5: Solve for x
    x = 2,757,735,732.10/81,675.84
  6. Step 6: Final answer
    x = 33,764.40

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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.