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Finding the Fourth Proportional to 81,878.40, 122,882.40 and 31,982.40

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Solution

The fourth proportional to 81,878.40, 122,882.40 and 31,982.40 is: 47,998.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,878.40 : 122,882.40 = 31,982.40 : x
  2. Step 2: Convert to fraction form
    81,878.40/122,882.40 = 31,982.40/x
  3. Step 3: Cross multiply
    81,878.40x = 122,882.40 × 31,982.40
  4. Step 4: Simplify right side
    81,878.40x = 3,930,074,069.76
  5. Step 5: Solve for x
    x = 3,930,074,069.76/81,878.40
  6. Step 6: Final answer
    x = 47,998.91

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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.