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Finding the Fourth Proportional to 81,438.41, 122,081.99 and 31,551.12

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Solution

The fourth proportional to 81,438.41, 122,081.99 and 31,551.12 is: 47,297.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,438.41 : 122,081.99 = 31,551.12 : x
  2. Step 2: Convert to fraction form
    81,438.41/122,081.99 = 31,551.12/x
  3. Step 3: Cross multiply
    81,438.41x = 122,081.99 × 31,551.12
  4. Step 4: Simplify right side
    81,438.41x = 3,851,823,358.57
  5. Step 5: Solve for x
    x = 3,851,823,358.57/81,438.41
  6. Step 6: Final answer
    x = 47,297.38

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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.