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Finding the Fourth Proportional to 128,142.38, 192,214.38 and 84,049.22

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Solution

The fourth proportional to 128,142.38, 192,214.38 and 84,049.22 is: 126,074.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,142.38 : 192,214.38 = 84,049.22 : x
  2. Step 2: Convert to fraction form
    128,142.38/192,214.38 = 84,049.22/x
  3. Step 3: Cross multiply
    128,142.38x = 192,214.38 × 84,049.22
  4. Step 4: Simplify right side
    128,142.38x = 16,155,468,711.78
  5. Step 5: Solve for x
    x = 16,155,468,711.78/128,142.38
  6. Step 6: Final answer
    x = 126,074.36

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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.