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Finding the Fourth Proportional to 120,078.31, 179,969.80 and 67,377.07

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Solution

The fourth proportional to 120,078.31, 179,969.80 and 67,377.07 is: 100,982.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,078.31 : 179,969.80 = 67,377.07 : x
  2. Step 2: Convert to fraction form
    120,078.31/179,969.80 = 67,377.07/x
  3. Step 3: Cross multiply
    120,078.31x = 179,969.80 × 67,377.07
  4. Step 4: Simplify right side
    120,078.31x = 12,125,837,475.60
  5. Step 5: Solve for x
    x = 12,125,837,475.60/120,078.31
  6. Step 6: Final answer
    x = 100,982.75

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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.