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Finding the Fourth Proportional to 81,294.42, 121,954.83 and 25,121.42

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Solution

The fourth proportional to 81,294.42, 121,954.83 and 25,121.42 is: 37,686.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,294.42 : 121,954.83 = 25,121.42 : x
  2. Step 2: Convert to fraction form
    81,294.42/121,954.83 = 25,121.42/x
  3. Step 3: Cross multiply
    81,294.42x = 121,954.83 × 25,121.42
  4. Step 4: Simplify right side
    81,294.42x = 3,063,678,505.46
  5. Step 5: Solve for x
    x = 3,063,678,505.46/81,294.42
  6. Step 6: Final answer
    x = 37,686.21

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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.