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Finding the Fourth Proportional to 100,274.39, 138,376.45 and 54,951.41

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Solution

The fourth proportional to 100,274.39, 138,376.45 and 54,951.41 is: 75,831.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,274.39 : 138,376.45 = 54,951.41 : x
  2. Step 2: Convert to fraction form
    100,274.39/138,376.45 = 54,951.41/x
  3. Step 3: Cross multiply
    100,274.39x = 138,376.45 × 54,951.41
  4. Step 4: Simplify right side
    100,274.39x = 7,603,981,452.92
  5. Step 5: Solve for x
    x = 7,603,981,452.92/100,274.39
  6. Step 6: Final answer
    x = 75,831.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.