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Finding the Fourth Proportional to 171,522, 257,236.50 and 71,661.30

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Solution

The fourth proportional to 171,522, 257,236.50 and 71,661.30 is: 107,472.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,522 : 257,236.50 = 71,661.30 : x
  2. Step 2: Convert to fraction form
    171,522/257,236.50 = 71,661.30/x
  3. Step 3: Cross multiply
    171,522x = 257,236.50 × 71,661.30
  4. Step 4: Simplify right side
    171,522x = 18,433,901,997.45
  5. Step 5: Solve for x
    x = 18,433,901,997.45/171,522
  6. Step 6: Final answer
    x = 107,472.52

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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.