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Finding the Fourth Proportional to 168,157.75, 231,926.42 and 107,734

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Solution

The fourth proportional to 168,157.75, 231,926.42 and 107,734 is: 148,588.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,157.75 : 231,926.42 = 107,734 : x
  2. Step 2: Convert to fraction form
    168,157.75/231,926.42 = 107,734/x
  3. Step 3: Cross multiply
    168,157.75x = 231,926.42 × 107,734
  4. Step 4: Simplify right side
    168,157.75x = 24,986,360,393.61
  5. Step 5: Solve for x
    x = 24,986,360,393.61/168,157.75
  6. Step 6: Final answer
    x = 148,588.81

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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.