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Finding the Fourth Proportional to 170,012.89, 255,010.10 and 51,675

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Solution

The fourth proportional to 170,012.89, 255,010.10 and 51,675 is: 77,509.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,012.89 : 255,010.10 = 51,675 : x
  2. Step 2: Convert to fraction form
    170,012.89/255,010.10 = 51,675/x
  3. Step 3: Cross multiply
    170,012.89x = 255,010.10 × 51,675
  4. Step 4: Simplify right side
    170,012.89x = 13,177,647,046.69
  5. Step 5: Solve for x
    x = 13,177,647,046.69/170,012.89
  6. Step 6: Final answer
    x = 77,509.69

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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.