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Finding the Fourth Proportional to 257,843.20, 355,820.91 and 143,122.86

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Solution

The fourth proportional to 257,843.20, 355,820.91 and 143,122.86 is: 197,508.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,843.20 : 355,820.91 = 143,122.86 : x
  2. Step 2: Convert to fraction form
    257,843.20/355,820.91 = 143,122.86/x
  3. Step 3: Cross multiply
    257,843.20x = 355,820.91 × 143,122.86
  4. Step 4: Simplify right side
    257,843.20x = 50,926,107,257.00
  5. Step 5: Solve for x
    x = 50,926,107,257.00/257,843.20
  6. Step 6: Final answer
    x = 197,508.05

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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.