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Finding the Fourth Proportional to 81,886.97, 122,830.52 and 22,722.70

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Solution

The fourth proportional to 81,886.97, 122,830.52 and 22,722.70 is: 34,084.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,886.97 : 122,830.52 = 22,722.70 : x
  2. Step 2: Convert to fraction form
    81,886.97/122,830.52 = 22,722.70/x
  3. Step 3: Cross multiply
    81,886.97x = 122,830.52 × 22,722.70
  4. Step 4: Simplify right side
    81,886.97x = 2,791,040,636.11
  5. Step 5: Solve for x
    x = 2,791,040,636.11/81,886.97
  6. Step 6: Final answer
    x = 34,084.06

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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.