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Finding the Fourth Proportional to 171,067.68, 256,256.64 and 143,265.60

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Solution

The fourth proportional to 171,067.68, 256,256.64 and 143,265.60 is: 214,609.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,067.68 : 256,256.64 = 143,265.60 : x
  2. Step 2: Convert to fraction form
    171,067.68/256,256.64 = 143,265.60/x
  3. Step 3: Cross multiply
    171,067.68x = 256,256.64 × 143,265.60
  4. Step 4: Simplify right side
    171,067.68x = 36,712,761,283.58
  5. Step 5: Solve for x
    x = 36,712,761,283.58/171,067.68
  6. Step 6: Final answer
    x = 214,609.57

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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.