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Finding the Fourth Proportional to 255,842.52, 353,069.96 and 142,672.56

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Solution

The fourth proportional to 255,842.52, 353,069.96 and 142,672.56 is: 196,892.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,842.52 : 353,069.96 = 142,672.56 : x
  2. Step 2: Convert to fraction form
    255,842.52/353,069.96 = 142,672.56/x
  3. Step 3: Cross multiply
    255,842.52x = 353,069.96 × 142,672.56
  4. Step 4: Simplify right side
    255,842.52x = 50,373,395,052.30
  5. Step 5: Solve for x
    x = 50,373,395,052.30/255,842.52
  6. Step 6: Final answer
    x = 196,892.19

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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.