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Finding the Fourth Proportional to 81,581.71, 122,357.96 and 51,911.41

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Solution

The fourth proportional to 81,581.71, 122,357.96 and 51,911.41 is: 77,857.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,581.71 : 122,357.96 = 51,911.41 : x
  2. Step 2: Convert to fraction form
    81,581.71/122,357.96 = 51,911.41/x
  3. Step 3: Cross multiply
    81,581.71x = 122,357.96 × 51,911.41
  4. Step 4: Simplify right side
    81,581.71x = 6,351,774,052.21
  5. Step 5: Solve for x
    x = 6,351,774,052.21/81,581.71
  6. Step 6: Final answer
    x = 77,857.82

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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.