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Finding the Fourth Proportional to 120,069.54, 180,107.55 and 31,321.08

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Solution

The fourth proportional to 120,069.54, 180,107.55 and 31,321.08 is: 46,982.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,069.54 : 180,107.55 = 31,321.08 : x
  2. Step 2: Convert to fraction form
    120,069.54/180,107.55 = 31,321.08/x
  3. Step 3: Cross multiply
    120,069.54x = 180,107.55 × 31,321.08
  4. Step 4: Simplify right side
    120,069.54x = 5,641,162,982.15
  5. Step 5: Solve for x
    x = 5,641,162,982.15/120,069.54
  6. Step 6: Final answer
    x = 46,982.47

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1.5x scale

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.