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Finding the Fourth Proportional to 171,709.65, 257,563.26 and 53,380.80

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Solution

The fourth proportional to 171,709.65, 257,563.26 and 53,380.80 is: 80,070.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,709.65 : 257,563.26 = 53,380.80 : x
  2. Step 2: Convert to fraction form
    171,709.65/257,563.26 = 53,380.80/x
  3. Step 3: Cross multiply
    171,709.65x = 257,563.26 × 53,380.80
  4. Step 4: Simplify right side
    171,709.65x = 13,748,932,869.41
  5. Step 5: Solve for x
    x = 13,748,932,869.41/171,709.65
  6. Step 6: Final answer
    x = 80,070.82

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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.