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Finding the Fourth Proportional to 81,970.83, 122,955.56 and 22,806.33

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Solution

The fourth proportional to 81,970.83, 122,955.56 and 22,806.33 is: 34,209.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,970.83 : 122,955.56 = 22,806.33 : x
  2. Step 2: Convert to fraction form
    81,970.83/122,955.56 = 22,806.33/x
  3. Step 3: Cross multiply
    81,970.83x = 122,955.56 × 22,806.33
  4. Step 4: Simplify right side
    81,970.83x = 2,804,165,076.69
  5. Step 5: Solve for x
    x = 2,804,165,076.69/81,970.83
  6. Step 6: Final answer
    x = 34,209.30

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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.