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Finding the Fourth Proportional to 81,875.90, 122,813.84 and 22,711.57

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Solution

The fourth proportional to 81,875.90, 122,813.84 and 22,711.57 is: 34,067.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,875.90 : 122,813.84 = 22,711.57 : x
  2. Step 2: Convert to fraction form
    81,875.90/122,813.84 = 22,711.57/x
  3. Step 3: Cross multiply
    81,875.90x = 122,813.84 × 22,711.57
  4. Step 4: Simplify right side
    81,875.90x = 2,789,295,124.13
  5. Step 5: Solve for x
    x = 2,789,295,124.13/81,875.90
  6. Step 6: Final answer
    x = 34,067.35

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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.