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Finding the Fourth Proportional to 81,197.80, 121,815.90 and 25,793.80

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Solution

The fourth proportional to 81,197.80, 121,815.90 and 25,793.80 is: 38,696.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,197.80 : 121,815.90 = 25,793.80 : x
  2. Step 2: Convert to fraction form
    81,197.80/121,815.90 = 25,793.80/x
  3. Step 3: Cross multiply
    81,197.80x = 121,815.90 × 25,793.80
  4. Step 4: Simplify right side
    81,197.80x = 3,142,094,961.42
  5. Step 5: Solve for x
    x = 3,142,094,961.42/81,197.80
  6. Step 6: Final answer
    x = 38,696.80

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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.