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Finding the Fourth Proportional to 171,157.64, 256,797.72 and 76,379.48

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Solution

The fourth proportional to 171,157.64, 256,797.72 and 76,379.48 is: 114,596.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,157.64 : 256,797.72 = 76,379.48 : x
  2. Step 2: Convert to fraction form
    171,157.64/256,797.72 = 76,379.48/x
  3. Step 3: Cross multiply
    171,157.64x = 256,797.72 × 76,379.48
  4. Step 4: Simplify right side
    171,157.64x = 19,614,076,318.79
  5. Step 5: Solve for x
    x = 19,614,076,318.79/171,157.64
  6. Step 6: Final answer
    x = 114,596.56

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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.