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Finding the Fourth Proportional to 120,020.82, 179,989.52 and 66,794.02

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Solution

The fourth proportional to 120,020.82, 179,989.52 and 66,794.02 is: 100,167.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,020.82 : 179,989.52 = 66,794.02 : x
  2. Step 2: Convert to fraction form
    120,020.82/179,989.52 = 66,794.02/x
  3. Step 3: Cross multiply
    120,020.82x = 179,989.52 × 66,794.02
  4. Step 4: Simplify right side
    120,020.82x = 12,022,223,598.67
  5. Step 5: Solve for x
    x = 12,022,223,598.67/120,020.82
  6. Step 6: Final answer
    x = 100,167.82

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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.