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Finding the Fourth Proportional to 81,090.46, 111,957.48 and 72,577.82

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Solution

The fourth proportional to 81,090.46, 111,957.48 and 72,577.82 is: 100,204.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,090.46 : 111,957.48 = 72,577.82 : x
  2. Step 2: Convert to fraction form
    81,090.46/111,957.48 = 72,577.82/x
  3. Step 3: Cross multiply
    81,090.46x = 111,957.48 × 72,577.82
  4. Step 4: Simplify right side
    81,090.46x = 8,125,629,759.73
  5. Step 5: Solve for x
    x = 8,125,629,759.73/81,090.46
  6. Step 6: Final answer
    x = 100,204.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.