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Finding the Fourth Proportional to 72,076.80, 108,115.20 and 49,915.20

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Solution

The fourth proportional to 72,076.80, 108,115.20 and 49,915.20 is: 74,872.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,076.80 : 108,115.20 = 49,915.20 : x
  2. Step 2: Convert to fraction form
    72,076.80/108,115.20 = 49,915.20/x
  3. Step 3: Cross multiply
    72,076.80x = 108,115.20 × 49,915.20
  4. Step 4: Simplify right side
    72,076.80x = 5,396,591,831.04
  5. Step 5: Solve for x
    x = 5,396,591,831.04/72,076.80
  6. Step 6: Final answer
    x = 74,872.80

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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.