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Finding the Fourth Proportional to 228,771.76, 315,724.20 and 126,822.16

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Solution

The fourth proportional to 228,771.76, 315,724.20 and 126,822.16 is: 175,025.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,771.76 : 315,724.20 = 126,822.16 : x
  2. Step 2: Convert to fraction form
    228,771.76/315,724.20 = 126,822.16/x
  3. Step 3: Cross multiply
    228,771.76x = 315,724.20 × 126,822.16
  4. Step 4: Simplify right side
    228,771.76x = 40,040,825,008.27
  5. Step 5: Solve for x
    x = 40,040,825,008.27/228,771.76
  6. Step 6: Final answer
    x = 175,025.21

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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.