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Finding the Fourth Proportional to 171,103.76, 256,699.28 and 71,230.72

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Solution

The fourth proportional to 171,103.76, 256,699.28 and 71,230.72 is: 106,864.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,103.76 : 256,699.28 = 71,230.72 : x
  2. Step 2: Convert to fraction form
    171,103.76/256,699.28 = 71,230.72/x
  3. Step 3: Cross multiply
    171,103.76x = 256,699.28 × 71,230.72
  4. Step 4: Simplify right side
    171,103.76x = 18,284,874,537.88
  5. Step 5: Solve for x
    x = 18,284,874,537.88/171,103.76
  6. Step 6: Final answer
    x = 106,864.25

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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.