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Finding the Fourth Proportional to 257,854.62, 355,833.75 and 143,126.52

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Solution

The fourth proportional to 257,854.62, 355,833.75 and 143,126.52 is: 197,511.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,854.62 : 355,833.75 = 143,126.52 : x
  2. Step 2: Convert to fraction form
    257,854.62/355,833.75 = 143,126.52/x
  3. Step 3: Cross multiply
    257,854.62x = 355,833.75 × 143,126.52
  4. Step 4: Simplify right side
    257,854.62x = 50,929,246,336.05
  5. Step 5: Solve for x
    x = 50,929,246,336.05/257,854.62
  6. Step 6: Final answer
    x = 197,511.48

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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.