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Finding the Fourth Proportional to 171,530.28, 257,383.08 and 81,674.64

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Solution

The fourth proportional to 171,530.28, 257,383.08 and 81,674.64 is: 122,553.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,530.28 : 257,383.08 = 81,674.64 : x
  2. Step 2: Convert to fraction form
    171,530.28/257,383.08 = 81,674.64/x
  3. Step 3: Cross multiply
    171,530.28x = 257,383.08 × 81,674.64
  4. Step 4: Simplify right side
    171,530.28x = 21,021,670,401.09
  5. Step 5: Solve for x
    x = 21,021,670,401.09/171,530.28
  6. Step 6: Final answer
    x = 122,553.70

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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.