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Finding the Fourth Proportional to 170,002.60, 255,003.90 and 81,429.10

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Solution

The fourth proportional to 170,002.60, 255,003.90 and 81,429.10 is: 122,143.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,002.60 : 255,003.90 = 81,429.10 : x
  2. Step 2: Convert to fraction form
    170,002.60/255,003.90 = 81,429.10/x
  3. Step 3: Cross multiply
    170,002.60x = 255,003.90 × 81,429.10
  4. Step 4: Simplify right side
    170,002.60x = 20,764,738,073.49
  5. Step 5: Solve for x
    x = 20,764,738,073.49/170,002.60
  6. Step 6: Final answer
    x = 122,143.65

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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.