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Finding the Fourth Proportional to 171,423.90, 257,301.70 and 82,739.84

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Solution

The fourth proportional to 171,423.90, 257,301.70 and 82,739.84 is: 124,189.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,423.90 : 257,301.70 = 82,739.84 : x
  2. Step 2: Convert to fraction form
    171,423.90/257,301.70 = 82,739.84/x
  3. Step 3: Cross multiply
    171,423.90x = 257,301.70 × 82,739.84
  4. Step 4: Simplify right side
    171,423.90x = 21,289,101,489.73
  5. Step 5: Solve for x
    x = 21,289,101,489.73/171,423.90
  6. Step 6: Final answer
    x = 124,189.81

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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.