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Finding the Fourth Proportional to 171,871.39, 257,820.92 and 65,306.42

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Solution

The fourth proportional to 171,871.39, 257,820.92 and 65,306.42 is: 97,964.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,871.39 : 257,820.92 = 65,306.42 : x
  2. Step 2: Convert to fraction form
    171,871.39/257,820.92 = 65,306.42/x
  3. Step 3: Cross multiply
    171,871.39x = 257,820.92 × 65,306.42
  4. Step 4: Simplify right side
    171,871.39x = 16,837,361,286.31
  5. Step 5: Solve for x
    x = 16,837,361,286.31/171,871.39
  6. Step 6: Final answer
    x = 97,964.89

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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.