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Finding the Fourth Proportional to 81,886.72, 122,757.02 and 31,955.21

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Solution

The fourth proportional to 81,886.72, 122,757.02 and 31,955.21 is: 47,904.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,886.72 : 122,757.02 = 31,955.21 : x
  2. Step 2: Convert to fraction form
    81,886.72/122,757.02 = 31,955.21/x
  3. Step 3: Cross multiply
    81,886.72x = 122,757.02 × 31,955.21
  4. Step 4: Simplify right side
    81,886.72x = 3,922,726,159.68
  5. Step 5: Solve for x
    x = 3,922,726,159.68/81,886.72
  6. Step 6: Final answer
    x = 47,904.30

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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.