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Finding the Fourth Proportional to 187,221.20, 280,831.80 and 54,105.80

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Solution

The fourth proportional to 187,221.20, 280,831.80 and 54,105.80 is: 81,158.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,221.20 : 280,831.80 = 54,105.80 : x
  2. Step 2: Convert to fraction form
    187,221.20/280,831.80 = 54,105.80/x
  3. Step 3: Cross multiply
    187,221.20x = 280,831.80 × 54,105.80
  4. Step 4: Simplify right side
    187,221.20x = 15,194,629,204.44
  5. Step 5: Solve for x
    x = 15,194,629,204.44/187,221.20
  6. Step 6: Final answer
    x = 81,158.70

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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.