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Finding the Fourth Proportional to 81,875.70, 122,813.55 and 22,711.37

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Solution

The fourth proportional to 81,875.70, 122,813.55 and 22,711.37 is: 34,067.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,875.70 : 122,813.55 = 22,711.37 : x
  2. Step 2: Convert to fraction form
    81,875.70/122,813.55 = 22,711.37/x
  3. Step 3: Cross multiply
    81,875.70x = 122,813.55 × 22,711.37
  4. Step 4: Simplify right side
    81,875.70x = 2,789,263,975.06
  5. Step 5: Solve for x
    x = 2,789,263,975.06/81,875.70
  6. Step 6: Final answer
    x = 34,067.06

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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.