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Finding the Fourth Proportional to 252,043.78, 347,817.21 and 137,327.20

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Solution

The fourth proportional to 252,043.78, 347,817.21 and 137,327.20 is: 189,509.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,043.78 : 347,817.21 = 137,327.20 : x
  2. Step 2: Convert to fraction form
    252,043.78/347,817.21 = 137,327.20/x
  3. Step 3: Cross multiply
    252,043.78x = 347,817.21 × 137,327.20
  4. Step 4: Simplify right side
    252,043.78x = 47,764,762,949.06
  5. Step 5: Solve for x
    x = 47,764,762,949.06/252,043.78
  6. Step 6: Final answer
    x = 189,509.79

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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.