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Finding the Fourth Proportional to 140,107.80, 210,015.90 and 76,830.60

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Solution

The fourth proportional to 140,107.80, 210,015.90 and 76,830.60 is: 115,165.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,107.80 : 210,015.90 = 76,830.60 : x
  2. Step 2: Convert to fraction form
    140,107.80/210,015.90 = 76,830.60/x
  3. Step 3: Cross multiply
    140,107.80x = 210,015.90 × 76,830.60
  4. Step 4: Simplify right side
    140,107.80x = 16,135,647,606.54
  5. Step 5: Solve for x
    x = 16,135,647,606.54/140,107.80
  6. Step 6: Final answer
    x = 115,165.95

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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.