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Finding the Fourth Proportional to 171,537.69, 257,202.34 and 76,750.21

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Solution

The fourth proportional to 171,537.69, 257,202.34 and 76,750.21 is: 115,078.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,537.69 : 257,202.34 = 76,750.21 : x
  2. Step 2: Convert to fraction form
    171,537.69/257,202.34 = 76,750.21/x
  3. Step 3: Cross multiply
    171,537.69x = 257,202.34 × 76,750.21
  4. Step 4: Simplify right side
    171,537.69x = 19,740,332,772.61
  5. Step 5: Solve for x
    x = 19,740,332,772.61/171,537.69
  6. Step 6: Final answer
    x = 115,078.69

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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.