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Finding the Fourth Proportional to 171,767.29, 257,530.21 and 75,658.89

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Solution

The fourth proportional to 171,767.29, 257,530.21 and 75,658.89 is: 113,435.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,767.29 : 257,530.21 = 75,658.89 : x
  2. Step 2: Convert to fraction form
    171,767.29/257,530.21 = 75,658.89/x
  3. Step 3: Cross multiply
    171,767.29x = 257,530.21 × 75,658.89
  4. Step 4: Simplify right side
    171,767.29x = 19,484,449,640.92
  5. Step 5: Solve for x
    x = 19,484,449,640.92/171,767.29
  6. Step 6: Final answer
    x = 113,435.16

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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.