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Finding the Fourth Proportional to 83,121.60, 124,698.60 and 33,193.20

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Solution

The fourth proportional to 83,121.60, 124,698.60 and 33,193.20 is: 49,796.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,121.60 : 124,698.60 = 33,193.20 : x
  2. Step 2: Convert to fraction form
    83,121.60/124,698.60 = 33,193.20/x
  3. Step 3: Cross multiply
    83,121.60x = 124,698.60 × 33,193.20
  4. Step 4: Simplify right side
    83,121.60x = 4,139,145,569.52
  5. Step 5: Solve for x
    x = 4,139,145,569.52/83,121.60
  6. Step 6: Final answer
    x = 49,796.27

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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.