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Finding the Fourth Proportional to 142,911, 214,375.48 and 48,133.44

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Solution

The fourth proportional to 142,911, 214,375.48 and 48,133.44 is: 72,203.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,911 : 214,375.48 = 48,133.44 : x
  2. Step 2: Convert to fraction form
    142,911/214,375.48 = 48,133.44/x
  3. Step 3: Cross multiply
    142,911x = 214,375.48 × 48,133.44
  4. Step 4: Simplify right side
    142,911x = 10,318,629,183.72
  5. Step 5: Solve for x
    x = 10,318,629,183.72/142,911
  6. Step 6: Final answer
    x = 72,203.18

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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.