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Finding the Fourth Proportional to 171,107.13, 256,689.90 and 52,756.41

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Solution

The fourth proportional to 171,107.13, 256,689.90 and 52,756.41 is: 79,143.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,107.13 : 256,689.90 = 52,756.41 : x
  2. Step 2: Convert to fraction form
    171,107.13/256,689.90 = 52,756.41/x
  3. Step 3: Cross multiply
    171,107.13x = 256,689.90 × 52,756.41
  4. Step 4: Simplify right side
    171,107.13x = 13,542,037,607.26
  5. Step 5: Solve for x
    x = 13,542,037,607.26/171,107.13
  6. Step 6: Final answer
    x = 79,143.62

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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.