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Finding the Fourth Proportional to 171,797.63, 257,701.30 and 47,138.63

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Solution

The fourth proportional to 171,797.63, 257,701.30 and 47,138.63 is: 70,709.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,797.63 : 257,701.30 = 47,138.63 : x
  2. Step 2: Convert to fraction form
    171,797.63/257,701.30 = 47,138.63/x
  3. Step 3: Cross multiply
    171,797.63x = 257,701.30 × 47,138.63
  4. Step 4: Simplify right side
    171,797.63x = 12,147,684,824.87
  5. Step 5: Solve for x
    x = 12,147,684,824.87/171,797.63
  6. Step 6: Final answer
    x = 70,709.27

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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.