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Finding the Fourth Proportional to 132,041.80, 197,793.90 and 81,968.20

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Solution

The fourth proportional to 132,041.80, 197,793.90 and 81,968.20 is: 122,785.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,041.80 : 197,793.90 = 81,968.20 : x
  2. Step 2: Convert to fraction form
    132,041.80/197,793.90 = 81,968.20/x
  3. Step 3: Cross multiply
    132,041.80x = 197,793.90 × 81,968.20
  4. Step 4: Simplify right side
    132,041.80x = 16,212,809,953.98
  5. Step 5: Solve for x
    x = 16,212,809,953.98/132,041.80
  6. Step 6: Final answer
    x = 122,785.44

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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.