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Finding the Fourth Proportional to 81,177, 121,767.59 and 38,472.46

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Solution

The fourth proportional to 81,177, 121,767.59 and 38,472.46 is: 57,709.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,177 : 121,767.59 = 38,472.46 : x
  2. Step 2: Convert to fraction form
    81,177/121,767.59 = 38,472.46/x
  3. Step 3: Cross multiply
    81,177x = 121,767.59 × 38,472.46
  4. Step 4: Simplify right side
    81,177x = 4,684,698,735.57
  5. Step 5: Solve for x
    x = 4,684,698,735.57/81,177
  6. Step 6: Final answer
    x = 57,709.68

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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.