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Finding the Fourth Proportional to 142,406.92, 213,738.78 and 75,902.44

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Solution

The fourth proportional to 142,406.92, 213,738.78 and 75,902.44 is: 113,922.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,406.92 : 213,738.78 = 75,902.44 : x
  2. Step 2: Convert to fraction form
    142,406.92/213,738.78 = 75,902.44/x
  3. Step 3: Cross multiply
    142,406.92x = 213,738.78 × 75,902.44
  4. Step 4: Simplify right side
    142,406.92x = 16,223,294,924.62
  5. Step 5: Solve for x
    x = 16,223,294,924.62/142,406.92
  6. Step 6: Final answer
    x = 113,922.10

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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.