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Finding the Fourth Proportional to 171,469.80, 257,204.70 and 53,140.20

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Solution

The fourth proportional to 171,469.80, 257,204.70 and 53,140.20 is: 79,710.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,469.80 : 257,204.70 = 53,140.20 : x
  2. Step 2: Convert to fraction form
    171,469.80/257,204.70 = 53,140.20/x
  3. Step 3: Cross multiply
    171,469.80x = 257,204.70 × 53,140.20
  4. Step 4: Simplify right side
    171,469.80x = 13,667,909,198.94
  5. Step 5: Solve for x
    x = 13,667,909,198.94/171,469.80
  6. Step 6: Final answer
    x = 79,710.30

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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.