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Finding the Fourth Proportional to 81,871.64, 122,801.90 and 31,942.52

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Solution

The fourth proportional to 81,871.64, 122,801.90 and 31,942.52 is: 47,911.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,871.64 : 122,801.90 = 31,942.52 : x
  2. Step 2: Convert to fraction form
    81,871.64/122,801.90 = 31,942.52/x
  3. Step 3: Cross multiply
    81,871.64x = 122,801.90 × 31,942.52
  4. Step 4: Simplify right side
    81,871.64x = 3,922,602,146.79
  5. Step 5: Solve for x
    x = 3,922,602,146.79/81,871.64
  6. Step 6: Final answer
    x = 47,911.61

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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.