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Finding the Fourth Proportional to 81,887.80, 122,817.96 and 22,729.48

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Solution

The fourth proportional to 81,887.80, 122,817.96 and 22,729.48 is: 34,090.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,887.80 : 122,817.96 = 22,729.48 : x
  2. Step 2: Convert to fraction form
    81,887.80/122,817.96 = 22,729.48/x
  3. Step 3: Cross multiply
    81,887.80x = 122,817.96 × 22,729.48
  4. Step 4: Simplify right side
    81,887.80x = 2,791,588,365.46
  5. Step 5: Solve for x
    x = 2,791,588,365.46/81,887.80
  6. Step 6: Final answer
    x = 34,090.41

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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.