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Finding the Fourth Proportional to 81,392.94, 122,108.01 and 31,473.42

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Solution

The fourth proportional to 81,392.94, 122,108.01 and 31,473.42 is: 47,217.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,392.94 : 122,108.01 = 31,473.42 : x
  2. Step 2: Convert to fraction form
    81,392.94/122,108.01 = 31,473.42/x
  3. Step 3: Cross multiply
    81,392.94x = 122,108.01 × 31,473.42
  4. Step 4: Simplify right side
    81,392.94x = 3,843,156,684.09
  5. Step 5: Solve for x
    x = 3,843,156,684.09/81,392.94
  6. Step 6: Final answer
    x = 47,217.32

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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.