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Finding the Fourth Proportional to 171,931.20, 257,896.80 and 162,745.80

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Solution

The fourth proportional to 171,931.20, 257,896.80 and 162,745.80 is: 244,118.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,931.20 : 257,896.80 = 162,745.80 : x
  2. Step 2: Convert to fraction form
    171,931.20/257,896.80 = 162,745.80/x
  3. Step 3: Cross multiply
    171,931.20x = 257,896.80 × 162,745.80
  4. Step 4: Simplify right side
    171,931.20x = 41,971,621,033.44
  5. Step 5: Solve for x
    x = 41,971,621,033.44/171,931.20
  6. Step 6: Final answer
    x = 244,118.70

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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.