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Finding the Fourth Proportional to 148,968.75, 205,576.88 and 81,900.75

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Solution

The fourth proportional to 148,968.75, 205,576.88 and 81,900.75 is: 113,023.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,968.75 : 205,576.88 = 81,900.75 : x
  2. Step 2: Convert to fraction form
    148,968.75/205,576.88 = 81,900.75/x
  3. Step 3: Cross multiply
    148,968.75x = 205,576.88 × 81,900.75
  4. Step 4: Simplify right side
    148,968.75x = 16,836,900,654.66
  5. Step 5: Solve for x
    x = 16,836,900,654.66/148,968.75
  6. Step 6: Final answer
    x = 113,023.04

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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.