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Finding the Fourth Proportional to 171,198.66, 256,658.80 and 71,433.16

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Solution

The fourth proportional to 171,198.66, 256,658.80 and 71,433.16 is: 107,091.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,198.66 : 256,658.80 = 71,433.16 : x
  2. Step 2: Convert to fraction form
    171,198.66/256,658.80 = 71,433.16/x
  3. Step 3: Cross multiply
    171,198.66x = 256,658.80 × 71,433.16
  4. Step 4: Simplify right side
    171,198.66x = 18,333,949,125.81
  5. Step 5: Solve for x
    x = 18,333,949,125.81/171,198.66
  6. Step 6: Final answer
    x = 107,091.66

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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.